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Lie Groups Lie Algebras Cohomology And Some Applications In Physics
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Book Synopsis Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics by : Josi A. de Azcárraga
Download or read book Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics written by Josi A. de Azcárraga and published by Cambridge University Press. This book was released on 1998-08-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Book Synopsis Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics by : José Adolfo de Azcárraga
Download or read book Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics written by José Adolfo de Azcárraga and published by . This book was released on 1995 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34 by : Anthony W. Knapp
Download or read book Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34 written by Anthony W. Knapp and published by Princeton University Press. This book was released on 2021-01-12 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
Book Synopsis Lie Groups, Lie Algebras, and Cohomology by : Anthony W. Knapp
Download or read book Lie Groups, Lie Algebras, and Cohomology written by Anthony W. Knapp and published by Princeton University Press. This book was released on 1988-05-21 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
Book Synopsis Lie Groups, Lie Algebras, and Some of Their Applications by : Robert Gilmore
Download or read book Lie Groups, Lie Algebras, and Some of Their Applications written by Robert Gilmore and published by Courier Corporation. This book was released on 2012-05-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Book Synopsis Noncompact Lie Groups and Some of Their Applications by : Elizabeth A. Tanner
Download or read book Noncompact Lie Groups and Some of Their Applications written by Elizabeth A. Tanner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.
Book Synopsis Lie Groups, Lie Algebras by : Melvin Hausner
Download or read book Lie Groups, Lie Algebras written by Melvin Hausner and published by CRC Press. This book was released on 1968 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polished lecture notes provide a clean and usefully detailed account of the standard elements of the theory of Lie groups and algebras. Following nineteen pages of preparatory material, Part I (seven brief chapters) treats "Lie groups and their Lie algebras"; Part II (seven chapters) treats "complex semi-simple Lie algebras"; Part III (two chapters) treats "real semi-simple Lie algebras". The page design is intimidatingly dense, the exposition very much in the familiar "definition/lemma/proof/theorem/proof/remark" mode, and there are no exercises or bibliography. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, by : Niky Kamran
Download or read book Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, written by Niky Kamran and published by American Mathematical Soc.. This book was released on 1994 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Book Synopsis Lie Groups Beyond an Introduction by : Anthony W. Knapp
Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
Book Synopsis Affine Lie Algebras and Quantum Groups by : Jürgen Fuchs
Download or read book Affine Lie Algebras and Quantum Groups written by Jürgen Fuchs and published by Cambridge University Press. This book was released on 1995-03-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
Book Synopsis Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics by : D. H. Sattinger
Download or read book Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics written by D. H. Sattinger and published by . This book was released on 2014-01-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications by : Willi-Hans Steeb
Download or read book Problems and Solutions for Groups, Lie Groups, Lie Algebras with Applications written by Willi-Hans Steeb and published by World Scientific Publishing Company. This book was released on 2012-04-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This allows the reader to gain understandings and insights through practice. Applications of these topics in physics and engineering are also provided. The book is self-contained. Each chapter gives an introduction to the topic.
Book Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev
Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer. This book was released on 2016-12-10 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.“div>This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
Book Synopsis Lie Theory and Its Applications in Physics by : Vladimir Dobrev
Download or read book Lie Theory and Its Applications in Physics written by Vladimir Dobrev and published by Springer Nature. This book was released on 2020-10-15 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field. The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Book Synopsis Lie Groups and Lie Algebras for Physicists by : Ashok Das
Download or read book Lie Groups and Lie Algebras for Physicists written by Ashok Das and published by World Scientific Publishing Company. This book was released on 2014-09-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics by : D.H. Sattinger
Download or read book Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics written by D.H. Sattinger and published by Springer Science & Business Media. This book was released on 1986-03-25 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. The material is presented in a way that is at once intuitive, geometric, applications oriented, and, most of the time, mathematically rigorous. It is intended for students and researchers without an extensive background in physics, algebra, or geometry. In addition to an exposition of the fundamental machinery of the subject, there are many concrete examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, symmetries of differential equations, completely integrable systems, and bifurcation theory.
