Linear connections on the quantum plane

DOI10.1007/BF00750842zbMath0835.58003arXivhep-th/9410199MaRDI QIDQ1903516

Yanyan Li

Publication date: 21 February 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9410199

zbMATH Keywords

noncommutative geometryquantum planelinear connection

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Linear and affine connections (53B05)

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Cites Work

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• Twisted second quantization
• Non-commutative differential geometry
• Multiparametric quantum deformation of the general linear supergroup
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Le langage des espaces et des groupes quantiques. (The language of quantum spaces and quantum groups)
• Gravity in non-commutative geometry
• Connections on central bimodules in noncommutative differential geometry
• Lectures on fibre bundles and differential geometry. Reissued
• Linear connections in non-commutative geometry
• Covariant differential calculus on the quantum hyperplane