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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....

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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

MARC

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100 1 |a Dobrev, V. K.,  |e author. 
245 1 0 |a Invariant differential operators.  |n Volume 1,  |p Noncompact semisimple lie algebras and groups /  |c Vladimir K. Dobrev. 
264 1 |a Berlin [Germany] ;  |a Boston [Massachusetts] :  |b De Gruyter,  |c 2016. 
264 4 |c ©2016 
300 |a 1 online resource (422 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a De Gruyter Studies in Mathematical Physics,  |x 2194-3532 ;  |v Volume 35 
504 |a Includes bibliographical references and indexes. 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t 1. Introduction --  |t 2. Lie Algebras and Groups --  |t 3. Real Semisimple Lie Algebras --  |t 4. Invariant Differential Operators --  |t 5. Case of the Anti-de Sitter Group --  |t 6. Conformal Case in 4D --  |t 7. Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations --  |t 8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras --  |t 9. Multilinear Invariant Differential Operators from New Generalized Verma Modules --  |t Bibliography --  |t Author Index --  |t Subject Index --  |t Backmatter 
520 |a 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. 
546 |a In English. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Lie algebras. 
650 0 |a Lie groups. 
650 0 |a Differential invariants. 
650 0 |a Differential operators. 
650 0 |a Quantum groups. 
650 0 |a Superalgebras. 
650 6 |a Algèbres de Lie. 
650 6 |a Groupes de Lie. 
650 6 |a Invariants différentiels. 
650 6 |a Opérateurs différentiels. 
650 6 |a Groupes quantiques. 
650 6 |a Superalgèbres. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Differential invariants  |2 fast 
650 7 |a Differential operators  |2 fast 
650 7 |a Lie algebras  |2 fast 
650 7 |a Lie groups  |2 fast 
650 7 |a Quantum groups  |2 fast 
650 7 |a Superalgebras  |2 fast 
776 0 8 |i Print version:  |a Dobrev, Vladimir K.  |t Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups.  |d Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, ©2016  |h xii, 408 pages  |k De Gruyter studies in mathematical physics ; Volume 35  |x 2194-3532  |z 9783110435429 
830 0 |a De Gruyter studies in mathematical physics ;  |v Volume 35. 
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