Lie-algebraic structure from inhomogeneous Hopf algebras

DOI10.1063/1.532506zbMath0928.17013OpenAlexW2084846839MaRDI QIDQ4701694

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Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532506

zbMATH Keywords

bicovariant differential calculusinhomogeneous Hopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)

Cites Work

• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• On the structure of inhomogeneous quantum groups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• Quantum deformations of \(D=4\) Poincaré and Weyl algebra from \(q\)- deformed \(D=4\) conformal algebra
• Inhomogeneous quantum groups and their quantized universal enveloping algebras
• The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants
• The Dirac operator and gamma matrices for quantum Minkowski spaces
• The inhomogeneous quantum groups from differential calculi with classical dimension
• Canonical q-deformations of noncompact Lie (super-)algebras

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