Bicovariant differential calculus on the two-parameter quantum group GLp,q(2)

DOI10.1063/1.529933zbMath0773.17016OpenAlexW1987470796MaRDI QIDQ4030936

Xiaodong Sun, Shi-Kun Wang

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529933

zbMATH Keywords

bicovariant differential calculusdual Hopf algebraquantum universal enveloping algebratwo-parameter deformationhigher order differential calculusquantum group \(Gl_{p,q}(2)\)

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 (2)

From the Wigner–Eckart theorem to the Hilbert–Schmidt scalar product for an adjoint representation of the quantum algebra Up,q(su2) ⋮ De Rham complexes of q-analog of general linear group GLq(N)

Cites Work

• Quantum group interpretation of some conformal field theories
• Differential calculus on quantum spheres
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Non-commutative differential geometry
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• Quantum field theory and the Jones polynomial
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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