On the noncommutative Riemannian geometry of GLq(n)

DOI10.1063/1.532053zbMath0878.58004arXivq-alg/9507002OpenAlexW2057397727WikidataQ115329036 ScholiaQ115329036MaRDI QIDQ4345172

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Publication date: 17 July 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9507002

zbMATH Keywords

torsionnoncommutative geometrycommutative limitlinear connectionsbicovariancegeneralized permutations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of differential geometry to physics (53Z05)

Related Items (4)

Classical gravity on fuzzy space-time ⋮ Differential calculuses on the quantized braided groups ⋮ Extending tangent bundles by an algebra bundle ⋮ EXAMPLES OF DERIVATION-BASED DIFFERENTIAL CALCULI RELATED TO NONCOMMUTATIVE GAUGE THEORIES

Cites Work

• Quantum inverse problem method. I
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Differential geometry on linear quantum groups
• Gravity in non-commutative geometry
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\)
• Linear connections on the quantum plane
• ON q-REGULARIZATION
• AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
• Linear connections in non-commutative geometry
• Linear connections on matrix geometries

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