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Introduction to Lie Algebras and Representation Theory, Humphreys



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Автор: Humphreys
Название:  Introduction to Lie Algebras and Representation Theory
ISBN: 9780387900537
Издательство: Springer
Классификация:
ISBN-10: 0387900535
Обложка/Формат: Hardback
Страницы: 196
Вес: 0.45 кг.
Дата издания: 01.04.1997
Серия: Graduate texts in mathematics
Язык: English
Издание: 1st ed. 1972. corr.
Иллюстрации: 7 black & white illustrations, 7 black & white lin
Размер: 244 x 165 x 17
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Дополнительное описание: Илюстрации: 7
Круг читателей: Graduate Math Students
Язык: eng
Издание: 1st ed. 1972. Corr. 7th p
Оглавление: Preface. 1: Basic Contents. 2: Semisimple Lie Algebras. 3: Root Systems. 4: Isomorphism and Conjugacy Theorems. 5: Existence Theorem. 6: Representation Theory. 7: Chevalley Algebras and Groups. References. Afterword. Index of Terminology. Index of Symbols.





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Elements of the Representation Theory of Associative Algebras

Автор: Ibrahim Assem
Название: Elements of the Representation Theory of Associative Algebras
ISBN: 0521586313 ISBN-13(EAN): 9780521586313
Издательство: Cambridge Academ
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Описание: This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.

Elements of the Representation Theory of Associative Algebras

Автор: Simson
Название: Elements of the Representation Theory of Associative Algebras
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Описание: The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.

Introduction to Lie Algebras

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Описание: Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. It also acts as a self-study guide for graduate students and researchers in mathematics and theoretical physics.

Introduction to Boolean Algebras

Автор: Steven Givant; Paul Halmos
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Описание: Aims to give an account of the algorithms for calculating with finite-dimensional Lie algebras; and to provide an introduction into the theory of finite-dimensional Lie algebras.

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Описание: Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.The book's unifying theme is the Banach space duality for operator algebras. This allows the reader to recognize the affinity between operator algebras and measure theory on locally compact spaces. Very technical sections are clearly labeled and there are extensive comments by the author, a good historical background and excercises.This book is part of the subseries of the EMS on Operator Algebras and Non-Commutative Geometry.

Theory of Operator Algebras II

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Описание: Together with "Theory of Operator Algebras I, III" (EMS 124 and 127), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Elements of the Representation Theory of Associative Algebras

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Elements of the Representation Theory of Associative Algebras

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Описание: The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.

Elements of the Representation Theory of Associative Algebras

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Описание: Provides an elementary but up-to-date introduction to the representation theory of algebras.

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