Quantum Groups

Vladimir K. Dobrev

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English

De Gruyter
10 July 2017

Series: De Gruyter Studies in Mathematical Physics

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.

Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies

By: Vladimir K. Dobrev
Imprint: De Gruyter
Country of Publication: Germany
Volume: 39
Dimensions: Height: 240mm, Width: 170mm,
Weight: 821g
ISBN: 9783110435436
ISBN 10: 3110435438
Series: De Gruyter Studies in Mathematical Physics
Pages: 406
Publication Date: 10 July 2017
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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