A differential calculus on the quantum group \(SU_q(2)\) compatible with the gauge-transformation structure

DOI10.1007/BF02557136zbMath0927.17008MaRDI QIDQ1274139

D. G. Pak

Publication date: 11 January 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum groupgauge transformationsbicovariant differential calculusgauge-covariant exterior differential algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32)

Cites Work

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• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Differential calculus on compact matrix pseudogroups (quantum groups)
• \(\text{SU}_q(n)\) gauge theory
• Bicovariant 3D calculus for SLq(2) from Poisson–Lie structures

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