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9780387900537

Introduction to Lie Algebras and Representation Theory

by
  • ISBN13:

    9780387900537

  • ISBN10:

    0387900535

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1980-06-01
  • Publisher: Springer Verlag

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Summary

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. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are more demanding.This text grew out of lectures which the author gave at the N.S.F. Advanced Science Seminar on Algebraic Groups at Bowdoin College in 1968.

Table of Contents

Preface
Basic Contents
Semisimple Lie Algebras
Root Systems
Isomorphism and Conjugacy Theorems
Existence Theorem
Representation Theory
Chevalley Algebras and Groups
References
Afterword
Index of Terminology
Index of Symbols
Table of Contents provided by Publisher. All Rights Reserved.

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