Description
Semisimple Lie Algebras
Lecture Notes in Pure and Applied Mathematics Series
Author: Goto Morikuni
Language: English
Subjects for Semisimple Lie Algebras:
Keywords
Lie Algebra; Cartan Subalgebra; Irreducible representations; Semisimple Lie Algebra; Linear groups; Cartan Decomposition; Semisimple Lie algebras; Simple Lie Algebra; Root system; Compact Real Form; Representation theory; Involutive Automorphism; Maximal Abelian Subalgebra; Vector Space; Killing Form; Maximal Subalgebra; Algebraic Group; Solvable Lie Algebra; Nilpotent Lie Algebra; Closed Subgroup; Semisimple Subalgebra; Linear Group; Associative Algebra; Exp Ad; Weyl Chamber; Maximal Compact Subgroup; Cartan Matrix; Maximal Subalgebras; Universal Enveloping Algebra; Nilpotent Endomorphism
Publication date: 06-2017
· 17.8x25.4 cm · Hardback
· 17.8x25.4 cm · Hardback
Description
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This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.
1. General Theory of Lie Algebras 2. Semisimple Lie Algebras 3. Cohomology of Lie Algebras And its Application 4. Semisimple Lie Algebras Over and 5. Groups Connected with a Root System 6. Linear Groups 7. Irreducible Representations 8. Classification of Real Simple Lie Algebras
Professional
Morikuni Goto is a Professor of Mathematics at the University of Pennsylvania in Philadelphia. Frank D. GrossHans is a Professor in the Department of Mathematical Sciences at West Chester State College,Pennsylvania.
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