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

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....

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dobrev, V. K. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin [Germany] ; Boston [Massachusetts] : De Gruyter, 2016.
Colección:De Gruyter studies in mathematical physics ; Volume 35.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (422 pages) : illustrations.
Bibliografía:Includes bibliographical references and indexes.
ISBN:3110427648
9783110427646
9783110427653
3110427656
ISSN:2194-3532 ;
2194-3532