Metric on quantum spaces

DOI10.1007/BF00751169zbMath0803.46079arXivhep-th/9307150MaRDI QIDQ1329169

Andrzej Sitarz

Publication date: 29 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9307150

zbMATH Keywords

quantum groupsnoncommutative differential geometry\(q\)- deformed SU(2)\(q\)-analogue of the metric tensor\(q\)-deformed differential calculusConnes approachManin plane

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)

Related Items

Metrics and pairs of left and right connections on bimodules ⋮ Noncommutative differential geometry with higher-order derivatives ⋮ Field theory on a \(q=-1\) quantum plane ⋮ Riemannian geometry of a discretized circle and torus

Cites Work

• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• ON q-REGULARIZATION
• On the quantum differential calculus and the quantum holomorphicity