A Curious Differential Calculus on the Quantum Disc and Cones

DOI10.1007/978-3-319-63594-1_4zbMath1415.58006arXiv1611.03434OpenAlexW2593933651MaRDI QIDQ4556831

Tomasz Brzeziński, Ludwik Dąbrowski

Publication date: 28 November 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03434

zbMATH Keywords

differential formsnon-commutative geometryintegral forms

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)

Related Items (2)

Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

Cites Work

• Noncommutative differential geometry of generalized Weyl algebras.
• Non-commutative integral forms and twisted multi-derivations
• Twisted reality condition for Dirac operators
• Skew derivations on generalized Weyl algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Spectral triples from bimodule connections and Chern connections
• The two-parameter quantum deformation of the unit disc
• Differential and Integral Forms on Non-commutative Algebras

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