Differential calculi on the quantum group GLp,q(2)

DOI10.1088/0305-4470/25/6/024zbMath0764.17017OpenAlexW2034249836MaRDI QIDQ4008111

Folkert Mueller-Hoissen

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/6/024

zbMATH Keywords

left-covariant differential calculusnon-standard bicovariant differential calculi

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Differential geometric aspects in vector and tensor analysis (53A45) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Applications of differential geometry to physics (53Z05)

Related Items (11)

A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\) ⋮ Covariant noncommutative differential geometry ⋮ Differential calculus on the h-superplane ⋮ Stochastic differential calculus, the Moyal *-product, and noncommutative geometry ⋮ THE JORDANIAN U_h(2) YANG–MILLS THEORY ⋮ Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\) ⋮ Classification of bicovariant differential calculi on quantum groups ⋮ Comment on the solutions of the graded Yang–Baxter equation ⋮ QUANTUM BRST AND ANTI-BRST INVARIANCE OF THE U_q(2) BF–YANG–MILLS THEORY: THE QUANTUM BATALIN–VILKOVISKY OPERATOR ⋮ Differential Calculi on Quantum Spaces Determined by Automorphisms ⋮ Left-covariant differential calculi on GL̃q(2)

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