De Rham complexes of q-analog of general linear group GLq(N)

DOI10.1063/1.530530zbMath0812.17014OpenAlexW2043399633MaRDI QIDQ4314245

Xiaodong Sun, Shi-Kun Wang

Publication date: 15 May 1995

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

Full work available at URL: https://doi.org/10.1063/1.530530

zbMATH Keywords

quantum groupsbicovariantfirst order differential calculusquantum De Rham complex

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)

Cites Work

• Twisted second quantization
• Compact matrix pseudogroups
• Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
• Differential calculus on quantized simple Lie groups
• Complex quantum group, dual algebra and bicovariant differential calculus
• Differential calculus on compact matrix pseudogroups (quantum groups)
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• Bicovariant differential calculus on the two-parameter quantum group GLp,q(2)
• Yang-Baxter matrix and *-calculi on quantum groups of A-series