Beschreibung
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 HighestWeight Modules over Quantum Algebras PositiveEnergy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant qDifference Operators Invariant qDifference Operators Related to GLq(n) qMaxwell Equations Hierarchies
Autorenporträt
Vladimir K. Dobrev, Bulgarian Academy of Sciences, Bulgaria.
Herstellerkennzeichnung:
Walter de Gruyter GmbH
De Gruyter GmbH
Genthiner Strasse 13
10785 Berlin
DE
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