Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups /

Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups /

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Bibliographic Details
Author / Creator:Dobrev, V. K., author.
Imprint:Berlin [Germany] ; Boston [Massachusetts] : De Gruyter, 2016.
©2016
Description:1 online resource (422 pages) : illustrations.
Language:English
Series:De Gruyter Studies in Mathematical Physics, 2194-3532 ; Volume 35
De Gruyter studies in mathematical physics ; Volume 35.
Subject:
Lie algebras.
Lie groups.
Differential invariants.
Differential operators.
Quantum groups.
Superalgebras.
Differential invariants.
Differential operators.
Lie algebras.
Lie groups.
Quantum groups.
Superalgebras.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11408554
Hidden Bibliographic Details
ISBN:3110427648
9783110427646
9783110427653
3110427656
311042780X
311043542X
9783110435429
9783110427806
Digital file characteristics:data file
Notes:Includes bibliographical references and indexes.
In English.
Summary: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:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index.
Other form:Print version: Dobrev, Vladimir K. Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups. Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, ©2016 xii, 408 pages De Gruyter studies in mathematical physics ; Volume 35 2194-3532 9783110435429
Standard no.:10.1515/9783110427646
Description
Summary:

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

Physical Description:1 online resource (422 pages) : illustrations.
Bibliography:Includes bibliographical references and indexes.
ISBN:3110427648
9783110427646
9783110427653
3110427656
311042780X
311043542X
9783110435429
9783110427806
ISSN:2194-3532
;

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