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Invariant Differential Operators. Vol. 2, Quantum Groups /

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quan...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dobrev, V. K. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Colección:De Gruyter studies in mathematical physics ; 39.
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 Vol. 2,  |p Quantum Groups /  |c Vladimir K. Dobrev. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2017] 
264 4 |c ©2017 
300 |a 1 online resource (406 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a De Gruyter studies in mathematical physics,  |x 2194-3532 ;  |v Volume 39 
505 0 0 |t Frontmatter --  |t Preface --  |t Contents --  |t 1 Quantum Groups and Quantum Algebras --  |t 2 Highest-Weight Modules over Quantum Algebras --  |t 3 Positive-Energy Representations of Noncompact Quantum Algebras --  |t 4 Duality for Quantum Groups --  |t 5 Invariant q-Difference Operators --  |t 6 Invariant q-Difference Operators Related to GLq(n) --  |t 7 q-Maxwell Equations Hierarchies --  |t Bibliography --  |t Author Index --  |t Subject Index. 
520 |a With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. ContentsQuantum Groups and Quantum AlgebrasHighest-Weight Modules over Quantum AlgebrasPositive-Energy Representations of Noncompact Quantum AlgebrasDuality for Quantum GroupsInvariant q-Difference OperatorsInvariant q-Difference Operators Related to GLq(n)q-Maxwell Equations Hierarchies. 
546 |a In English. 
588 0 |a Online resource; title from PDF title page (publisher's Web site, viewed 24. Jul 2017). 
504 |a Includes bibliographical references and indexes. 
590 |a De Gruyter Online  |b De Gruyter Open Access eBooks 
650 0 |a Differential invariants. 
650 0 |a Differential operators. 
650 0 |a Quantum groups. 
650 0 |a Superalgebras. 
650 6 |a Invariants différentiels. 
650 6 |a Opérateurs différentiels. 
650 6 |a Groupes quantiques. 
650 6 |a Superalgèbres. 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Differential invariants  |2 fast 
650 7 |a Differential operators  |2 fast 
650 7 |a Quantum groups  |2 fast 
650 7 |a Superalgebras  |2 fast 
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