Bicovariant differential calculi on \(S_ \mu U(2)\)

DOI10.1007/BF00406546zbMath0786.17014OpenAlexW1994869865MaRDI QIDQ1196097

Piotr Stachura

Publication date: 10 November 1992

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

Full work available at URL: https://doi.org/10.1007/bf00406546

zbMATH Keywords

quantum groupsclassical limitbicovariant differential calculusleft invariant forms

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

Spin geometry on quantum groups via covariant differential calculi, Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\), Left-covariant differential calculi on \(\mathrm{SL}_q(2)\) and \(\mathrm{SL}_q(3)\), Field theory in SUq(2), The contraction of SUμ(2) and its differential structures to Eκ(2), CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION

Cites Work

• Differential calculus on quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Differential calculus on compact matrix pseudogroups (quantum groups)