Noncompact Semisimple Lie Algebras and Groups

Vladimir K. Dobrev

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English

De Gruyter
12 September 2016

Series: De Gruyter Studies in Mathematical Physics

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, Schrödinger 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

By: Vladimir K. Dobrev
Imprint: De Gruyter
Country of Publication: Germany
Volume: 35
Dimensions: Height: 240mm, Width: 170mm, Spine: 25mm
Weight: 844g
ISBN: 9783110435429
ISBN 10: 311043542X
Series: De Gruyter Studies in Mathematical Physics
Pages: 421
Publication Date: 12 September 2016
Recommended Age: College Graduate Student
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Vladimir Dobrev, Bulgarian Academy of Sciences, Sofia, Bulgaria.

Reviews for Noncompact Semisimple Lie Algebras and Groups

The book would be helpful for theoretical physicists interested in applications of representation theory. Michael Pevzner in: Mathematical Reviews December 2017, MR3561099