Noncompact Semisimple Lie Algebras and Groups (Hardcover)

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schroedinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Studies in Mathematical Physics
Release date:	September 2016
First published:	2016
Authors:	Vladimir K Dobrev
Dimensions:	240 x 170 x 25mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	421
ISBN-13:	978-3-11-043542-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Physics > Relativity physics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-11-043542-X
Barcode:	9783110435429

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