Invariant Differential Operators, Quantum Groups

1. Auflage 2024
ISBN: 978-3-11-043543-6
Verlag: De Gruyter

Buch, Englisch, Band Volume 2, 395 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 868 g

Reihe: Invariant Differential Operators

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 -Difference Operators
Invariant -Difference Operators Related to ()
-Maxwell Equations Hierarchies

Zielgruppe

Researchers in Mathematics and Mathematical and Theoretical Physi

Autoren/Hrsg.

Dobrev, Vladimir K.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Über Autor(innen)

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