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Download Emergence of the Theory of Lie Groups PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461212027
Pages : 566 pages
Rating : 4.4/5 (612 users)
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Download or read book Emergence of the Theory of Lie Groups written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

Download Emergence of the Theory of Lie Groups PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 0387989633
Pages : 566 pages
Rating : 4.9/5 (896 users)
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Download or read book Emergence of the Theory of Lie Groups written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2000-07-19 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

Download Structure and Geometry of Lie Groups PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 0387847944
Pages : 746 pages
Rating : 4.8/5 (479 users)
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Download or read book Structure and Geometry of Lie Groups written by Joachim Hilgert and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.

Download Groups and Symmetries PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 9780387788661
Pages : 196 pages
Rating : 4.3/5 (877 users)
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Download or read book Groups and Symmetries written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2009-10-16 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas - Applies material to physics so students appreciate the applications of abstract mathematics - Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates - Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study

Download Actions and Invariants of Algebraic Groups PDF
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Publisher : CRC Press
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ISBN 10 : 9781420030792
Pages : 472 pages
Rating : 4.4/5 (2 users)
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Download or read book Actions and Invariants of Algebraic Groups written by Walter Ferrer Santos and published by CRC Press. This book was released on 2005-04-26 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Actions and Invariants of Algebraic Groups presents a self-contained introduction to geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's more sophisticated theory. The authors systematically exploit the viewpoint of Hopf algebra theory and the theory of comodules to simplify and compactify many of the rele

Download Using the Mathematics Literature PDF
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Publisher : CRC Press
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ISBN 10 : 9781482276442
Pages : 475 pages
Rating : 4.4/5 (822 users)
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Download or read book Using the Mathematics Literature written by Kristine K. Fowler and published by CRC Press. This book was released on 2004-05-25 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati

Download From Natural Philosophy to the Sciences PDF
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Publisher : University of Chicago Press
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ISBN 10 : 0226089274
Pages : 456 pages
Rating : 4.0/5 (892 users)
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Download or read book From Natural Philosophy to the Sciences written by David Cahan and published by University of Chicago Press. This book was released on 2003-09-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the 19th century, much of the modern scientific enterprise took shape: scientific disciplines were formed, institutions and communities were founded and unprecedented applications to and interactions with other aspects of society and culture occurred. taught us about this exciting time and identify issues that remain unexamined or require reconsideration. They treat scientific disciplines - biology, physics, chemistry, the earth sciences, mathematics and the social sciences - in their specific intellectual and sociocultural contexts as well as the broader topics of science and medicine; science and religion; scientific institutions and communities; and science, technology and industry. From Natural Philosophy to the Sciences should be valuable for historians of science, but also of great interest to scholars of all aspects of 19th-century life and culture.

Download The Analytical and Topological Theory of Semigroups PDF
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Publisher : Walter de Gruyter
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ISBN 10 : 9783110856040
Pages : 409 pages
Rating : 4.1/5 (18 users)
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Download or read book The Analytical and Topological Theory of Semigroups written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 1990-01-01 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Download Representation Theory of Lie Groups PDF
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Publisher : Cambridge University Press
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ISBN 10 : 9780521226363
Pages : 341 pages
Rating : 4.5/5 (212 users)
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Download or read book Representation Theory of Lie Groups written by M. F. Atiyah and published by Cambridge University Press. This book was released on 1979 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to non-specialists.

Download Philosophy of Physics PDF
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Publisher : Elsevier
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ISBN 10 : 9780080466651
Pages : 1522 pages
Rating : 4.0/5 (84 users)
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Download or read book Philosophy of Physics written by and published by Elsevier. This book was released on 2006-11-26 with total page 1522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ambition of this volume is twofold: to provide a comprehensive overview of the field and to serve as an indispensable reference work for anyone who wants to work in it. For example, any philosopher who hopes to make a contribution to the topic of the classical-quantum correspondence will have to begin by consulting Klaas Landsman’s chapter. The organization of this volume, as well as the choice of topics, is based on the conviction that the important problems in the philosophy of physics arise from studying the foundations of the fundamental theories of physics. It follows that there is no sharp line to be drawn between philosophy of physics and physics itself. Some of the best work in the philosophy of physics is being done by physicists, as witnessed by the fact that several of the contributors to the volume are theoretical physicists: viz., Ellis, Emch, Harvey, Landsman, Rovelli, ‘t Hooft, the last of whom is a Nobel laureate. Key features - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers - Definitive discussions of the philosophical implications of modern physics - Masterly expositions of the fundamental theories of modern physics - Covers all three main pillars of modern physics: relativity theory, quantum theory, and thermal physics - Covers the new sciences that have grown from these theories: for example, cosmology from relativity theory; and quantum information and quantum computing, from quantum theory - Contains special Chapters that address crucial topics that arise in several different theories, such as symmetry and determinism - Written by very distinguished theoretical physicists, including a Nobel Laureate, as well as by philosophers

Download Theory of Lie Groups PDF
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Publisher : Courier Dover Publications
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ISBN 10 : 9780486824536
Pages : 224 pages
Rating : 4.4/5 (868 users)
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Download or read book Theory of Lie Groups written by Claude Chevalley and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. 1946 edition.

Download Stochastic Models  Information Theory  and Lie Groups  Volume 2 PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 9780817649449
Pages : 435 pages
Rating : 4.8/5 (176 users)
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Download or read book Stochastic Models Information Theory and Lie Groups Volume 2 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2011-11-16 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Download The Heroic Age PDF
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Publisher : Oxford University Press
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ISBN 10 : 9780190655181
Pages : 352 pages
Rating : 4.1/5 (96 users)
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Download or read book The Heroic Age written by Robert D. Purrington and published by Oxford University Press. This book was released on 2018-01-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory is one of the great achievements of twentieth century physics. Born at the very beginning of the century, it attained a definitive form by 1932, yet continued to evolve throughout the century. Its applications remain fully a part of modern life. It should thus come as no surprise that literature on the history of quantum theory is vast, but author Robert D. Purrington approaches the story from a new angle, by examining the original physics papers and scientific studies from before the creation of quantum mechanics to how scientists think about and discuss the subject today. The Heroic Age presents for the first time a detailed but compact and manageable history of the creation of quantum theory, and shows precisely where each important idea originated. Purrington provides the history of the crucial developmental years of quantum theory with an emphasis on the literature rather than an overview of this period focusing on personalities or personal stories of the scientists involved. This book instead focuses on how the theoretical discoveries came about, when and where they were published, and how they became accepted as part of the scientific canon.

Download Potential Theory and Geometry on Lie Groups PDF
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Publisher : Cambridge University Press
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ISBN 10 : 9781107036499
Pages : 611 pages
Rating : 4.1/5 (7 users)
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Download or read book Potential Theory and Geometry on Lie Groups written by N. Th. Varopoulos and published by Cambridge University Press. This book was released on 2020-10-22 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete account of a new classification of connected Lie groups in two classes, including open problems to motivate further study.

Download Representation of Lie Groups and Special Functions PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 0792314662
Pages : 612 pages
Rating : 4.3/5 (146 users)
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Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 1991-11-30 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematici has rendered the 'Et moi, ...• si j'avait IU comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belong., on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'el;re of this series.

Download Theory Of Groups And Symmetries  Finite Groups  Lie Groups  And Lie Algebras PDF
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Publisher : World Scientific
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ISBN 10 : 9789813236875
Pages : 476 pages
Rating : 4.8/5 (132 users)
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Download or read book Theory Of Groups And Symmetries Finite Groups Lie Groups And Lie Algebras written by Rubakov Valery A and published by World Scientific. This book was released on 2018-03-21 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics. Contents: Preface Groups and Transformations Lie Groups Lie Algebras Representations of Groups and Lie Algebras Compact Lie Algebras Root Systems and Classification of Simple Lie Algebras Homogeneous Spaces and their Geometry Solutions to Selected Problems Selected Bibliography References Index Readership: Graduate students and researchers in theoretical physics and mathematical physics. Keywords: Lie Groups;Lie Algebras;Representation Theory;Conformal Symmetries;Yangians;Coset Spaces;Differential Geometry;Casimir Operators;Root Systems;AdS Spaces;Lobachevskian GeometryReview:0

Download Mathematical Reviews PDF
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ISBN 10 : UVA:X006180631
Pages : pages
Rating : 4.X/5 (6 users)
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Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: