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Introduction to Lie algebras and representation theory by James E. Humphreys

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Published by Springer in New York .
Written in English

Subjects:

  • Lie algebras.,
  • Representations of groups.,
  • Representations of algebras.

Book details:

Edition Notes

Includes bibliographical references (p. 165-166) and indexes.

StatementJames E. Humphreys.
SeriesGraduate texts in mathematics ;, 9
Classifications
LC ClassificationsQA252.3 .H86 1997
The Physical Object
Paginationxii, 172 :
Number of Pages172
ID Numbers
Open LibraryOL310136M
ISBN 100387900535, 0387900527, 3540900535, 3540900527
LC Control Number97219973

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Introduction to Lie algebras and representation theory (Graduate texts in mathematics) by James E Humphreys (Author)/5(15). This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. Introduction to Lie Algebras and Representation Theory. This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically 4/5(1).   This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) /5.

Introduction. This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed. J.E. Humphreys, This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. theory and also discussed real Lie algebras and Lie groups. Two other recommendable texts which only discuss Lie algebras are the books \Introduction to Lie Algebras and Representation Theory" by J.E. Humphreys, and \Notes on Lie algebras" by H. Samel-son. A nice short text is the book \Lectures on Lie Groups and Lie Algebras" byFile Size: KB. Solutions to some exercises in the book “J. E. Humphreys, An Introduction to Lie Algebras and Representation Theory” J Contents 1 Definitions and First Examples 3 2 Ideals and Homomorphisms 9 3 Solvable and Nilpotent Lie Algebras 13 4 Theorems of Lie and Cartan 16 5 Killing Form 17 6 Complete Reducibility of Representations 20File Size: KB.

Introduction to Lie Algebras and Representation Theory James E. Humphreys (auth.) This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. J.E. Humphreys This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations.   Of course, this was not common practice when Humphreys’ book was first written: Roger Howe’s influential article “Very Basic Lie Theory” was not published in the American Mathematical Monthly until , and Brian Hall’s beautiful book Lie Groups, Lie Algebras and Representations: An Elementary Introduction was not published until. Introduction to Lie Algebras covers the core material required for almost all other work in Lie theory and provides a self-study guide suitable for undergraduate students in their final year and graduate students and researchers in mathematics and theoretical physics.