Levi-Civita connections on the quantum groups \(SL_ q(N), O_ q(N)\) and \(Sp_ q(N)\)

DOI10.1007/S002200050086zbMath0888.17007arXivq-alg/9512001OpenAlexW2030008565MaRDI QIDQ1357449

István Heckenberger, Konrad Schmüdgen

Publication date: 7 July 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9512001

zbMATH Keywords

quantum groupsinvariant metricLevi-Civita connectionbicovariant differential calculi

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) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Connections (general theory) (53C05)

Related Items (13)

Spin geometry on quantum groups via covariant differential calculi ⋮ Pseudo-Riemannian metrics on bicovariant bimodules ⋮ A new look at Levi-Civita connection in noncommutative geometry ⋮ Covariant connections on bicovariant differential calculus ⋮ Levi-Civita connections on braided algebras ⋮ A Hodge–de Rham Dirac operator on the quantum SU(2) ⋮ Levi-Civita connections and vector fields for noncommutative differential calculi ⋮ The geometry of the quantum Euclidean space ⋮ On the Koszul formula in noncommutative geometry ⋮ Levi-Civita connections for a class of spectral triples ⋮ Warped products and Yang-Mills equations on noncommutative spaces ⋮ Discrete Riemannian geometry ⋮ Levi-Civita connections for conformally deformed metrics on tame differential calculi

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