Linear Algebra and Group Representations: Multilinear algebra and group representations

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (831 download)

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Book Synopsis Linear Algebra and Group Representations: Multilinear algebra and group representations by : Ronald Shaw

Download or read book Linear Algebra and Group Representations: Multilinear algebra and group representations written by Ronald Shaw and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

LINEAR ALGEBRA AND GROUP REPRESENTATIONS.

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (839 download)

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Book Synopsis LINEAR ALGEBRA AND GROUP REPRESENTATIONS. by : R. Shaw

Download or read book LINEAR ALGEBRA AND GROUP REPRESENTATIONS. written by R. Shaw and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra and Group Representations

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ISBN 13 :
Total Pages : 579 pages
Book Rating : 4.:/5 (797 download)

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Book Synopsis Linear Algebra and Group Representations by : Ronald Shaw

Download or read book Linear Algebra and Group Representations written by Ronald Shaw and published by . This book was released on 1982 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra and Group Representations: Linear algebra and introduction to group representations

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ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Algebra and Group Representations: Linear algebra and introduction to group representations by : Ronald Shaw

Download or read book Linear Algebra and Group Representations: Linear algebra and introduction to group representations written by Ronald Shaw and published by . This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multilinear Algebra

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Publisher : CRC Press
ISBN 13 : 9789056990787
Total Pages : 344 pages
Book Rating : 4.9/5 (97 download)

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Book Synopsis Multilinear Algebra by : Russell Merris

Download or read book Multilinear Algebra written by Russell Merris and published by CRC Press. This book was released on 1997-08-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric functions, and all these subjects appear in this book. Another attraction of multilinear algebra lies in its power to unify such seemingly diverse topics. This is done in the final chapter by means of the rational representations of the full linear group. Arising as characters of these representations, the classical Schur polynomials are one of the keys to unification. Prerequisites for the book are minimized by self-contained introductions in the early chapters. Throughout the text, some of the easier proofs are left to the exercises, and some of the more difficult ones to the references.

Linear Representations of Groups

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Publisher : Birkhäuser
ISBN 13 : 3034892748
Total Pages : 151 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear Representations of Groups by : E.B. Vinberg

Download or read book Linear Representations of Groups written by E.B. Vinberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the field under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of finite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely ap plied branches of algebra. Practically every time that groups are encountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. O.

The Theory of Group Characters and Matrix Representations of Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840673
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Theory of Group Characters and Matrix Representations of Groups by : Dudley Ernest Littlewood

Download or read book The Theory of Group Characters and Matrix Representations of Groups written by Dudley Ernest Littlewood and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally written in 1940, this book remains a classical source on representations and characters of finite and compact groups. The book starts with necessary information about matrices, algebras, and groups. Then the author proceeds to representations of finite groups. Of particular interest in this part of the book are several chapters devoted to representations and characters of symmetric groups and the closely related theory of symmetric polynomials. The concluding chapters present the representation theory of classical compact Lie groups, including a detailed description of representations of the unitary and orthogonal groups. The book, which can be read with minimal prerequisites (an undergraduate algebra course), allows the reader to get a good understanding of beautiful classical results about group representations.

Algebras and Representation Theory

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Publisher : Springer
ISBN 13 : 3319919989
Total Pages : 304 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Algebras and Representation Theory by : Karin Erdmann

Download or read book Algebras and Representation Theory written by Karin Erdmann and published by Springer. This book was released on 2018-09-07 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers. The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hölder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study representations of quivers in detail, leading to a complete proof of Gabriel's celebrated theorem characterizing the representation type of quivers in terms of Dynkin diagrams. Requiring only introductory courses on linear algebra and groups, rings and fields, this textbook is aimed at undergraduate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses.

Representation Theory of Finite Groups and Associative Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821869451
Total Pages : 722 pages
Book Rating : 4.8/5 (694 download)

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Book Synopsis Representation Theory of Finite Groups and Associative Algebras by : Charles W. Curtis

Download or read book Representation Theory of Finite Groups and Associative Algebras written by Charles W. Curtis and published by American Mathematical Soc.. This book was released on 1966 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Representations

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Publisher : Elsevier
ISBN 13 : 1483295095
Total Pages : pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Group Representations by : Gregory Karpilovsky

Download or read book Group Representations written by Gregory Karpilovsky and published by Elsevier. This book was released on 2016-06-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.

Representations of Linear Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 383489401X
Total Pages : 280 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Representations of Linear Groups by : Rolf Berndt

Download or read book Representations of Linear Groups written by Rolf Berndt and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory and complex analysis. The goal is to present the fundamental concepts of representation theory, to describe the connection between them, and to explain some of their background. The focus is on groups which are of particular interest for applications in physics and number theory (e.g. Gell-Mann's eightfold way and theta functions, automorphic forms). The reader finds a large variety of examples which are presented in detail and from different points of view.

Groups and Representations

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ISBN 13 : 9781461208006
Total Pages : 212 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Groups and Representations by : J. L. Alperin

Download or read book Groups and Representations written by J. L. Alperin and published by . This book was released on 1995-09-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetric and G-algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 9400905971
Total Pages : 381 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Symmetric and G-algebras by : Gregory Karpilovsky

Download or read book Symmetric and G-algebras written by Gregory Karpilovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of symmetric and G-algebras has experienced a rapid growth in the last ten to fifteen years, acquiring mathematical depth and significance and leading to new insights in group representation theory. This volume provides a systematic account of the theory together with a number of applicat

A Journey Through Representation Theory

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Publisher : Springer
ISBN 13 : 3319982710
Total Pages : 223 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis A Journey Through Representation Theory by : Caroline Gruson

Download or read book A Journey Through Representation Theory written by Caroline Gruson and published by Springer. This book was released on 2018-10-23 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.

Representations of Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 082184377X
Total Pages : 594 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen

Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.

Groups and Characters

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Publisher : CRC Press
ISBN 13 : 9781584880387
Total Pages : 264 pages
Book Rating : 4.8/5 (83 download)

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Book Synopsis Groups and Characters by : Victor E Hill

Download or read book Groups and Characters written by Victor E Hill and published by CRC Press. This book was released on 1999-11-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters. Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.

Linear Algebraic Groups and Their Representations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851616
Total Pages : 200 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Linear Algebraic Groups and Their Representations by : Richard S. Elman

Download or read book Linear Algebraic Groups and Their Representations written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 1993 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics. Linear algebraic groups and their representations interface with a broad range of areas through diverse avenues--with algebraic geometry through moduli spaces, with classical invariant theory through group actions on polynomial rings, with enumerative and combinatorial geometry through flag manifolds, and with theoretical physics through Kac-Moody algebras and quantum groups. Collected here are both surveys and original contributions by eminent specialists, reflecting current developments in the subject. This book is one of the few available sources that brings together such a wide variety of themes under a single unifying perspective.