Covariant differential complexes on quantum linear groups

DOI10.1088/0305-4470/28/8/015zbMath0860.58003arXivhep-th/9311112OpenAlexW3098310983MaRDI QIDQ4716549

A. P. Isaev, P. N. Pyatov

Publication date: 26 November 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9311112

zbMATH Keywords

differential complexesquantum linear groupsCartan's 1-formscovariant external algebra

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 (13)

Spectral extension of the quantum group cotangent bundle ⋮ Graded Poisson Lie structures on classical complex Lie groups ⋮ Braided algebras and their applications to noncommutative geometry ⋮ Noncommutative geometry on central extension of U(u(2)) ⋮ Braided Weyl algebras and differential calculus on \(U(u(2))\) ⋮ On quantum field theory with nonzero minimal uncertainties in positions and momenta ⋮ On the algebraic structure of differential calculus on quantum groups ⋮ Braided differential operators on quantum algebras ⋮ Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type ⋮ Graded Poisson-Lie structures on general linear groups ⋮ Cayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ type ⋮ Hecke symmetries ⋮ BRST and anti-BRST operators for quantum linear algebra \(U_q(\text{gl}(N))\)

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