Bicovariant 3D calculus for SLq(2) from Poisson–Lie structures

DOI10.1063/1.530699zbMath0826.17015OpenAlexW2066730340MaRDI QIDQ4837153

Irina Ya. Aref'eva, Gleb E. Arutyunov, P. B. Medvedev

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530699

zbMATH Keywords

graded Poisson-Lie structuresquantum algebra of bicovariant formsquantum special linear group \(\text{SL}_ q(N)\)

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

Interrelations between quantum groups and reflection equation (braided) algebras ⋮ COTANGENT AND TANGENT MODULES ON QUANTUM ORBITS ⋮ Graded Poisson Lie structures on classical complex Lie groups ⋮ On the algebraic structure of differential calculus on quantum groups ⋮ A differential calculus on the quantum group \(SU_q(2)\) compatible with the gauge-transformation structure

Cites Work

• Non-commutative differential geometry
• Compact matrix pseudogroups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential geometry on linear quantum groups
• QUANTUM GROUP GAUGE FIELDS

This page was built for publication: Bicovariant 3D calculus for SLq(2) from Poisson–Lie structures