Introduction to Lie Algebras and Representation Theory (Graduate texts in mathematics, vol.9) - Hardcover

Introduction to Lie Algebras and Representation Theory Graduate texts in mathematics, vol.9 [Englisch] [Gebundene Ausgabe] James E. Humphreys Semisimple Lie Algebras Root Systems Isomorphism and Conjugacy Theorems Existence Theorem Representation Theory Chevalley Algebras and Groups

Hardcover. Zustand: gut. 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. TOC: Preface.- Basic Concepts.- Semisimple Lie Algebras.- Root Systems.- Isomorphism and Conjugacy Theorems.- Existence Theorem.- Representation Theory.- Chevalley Algebras and Groups.- References.- Afterword (1994).- Index of Terminology.- Index of Symbols. This is an introductor text to lie algebras and representation theory. It covers areas such as semi-simple lie algebras, Chevalley algebras and groups, and isomorphism and conjugacy theorems. Sprache: englisch Maße: 160 x 241 mm Mathematik Informatik Mathe maths ISBN-10: 3-540-90053-5 3540900535 ISBN-13: 978-3-540-90053-5 9783540900535 In englischer Sprache. 196 pages. 160 x 241 mm. Artikel-Nr. BN25947

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