The quantum de Rham complexes associated with \(SL_ h(2)\)

DOI10.1007/BF00939696zbMath0789.17010arXivhep-th/9305118OpenAlexW2030155621MaRDI QIDQ1317881

Vahid Karimipour

Publication date: 13 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9305118

zbMATH Keywords

quantum groupquantum planeCartan-Maurer formsdeformation of two-dimensional Heisenberg algebraderivatives in noncommutative differential calculusnonstandard deformation of Fun(SL(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) Deformations of associative rings (16S80)

Related Items

Differential calculus on the h-superplane, THE JORDANIAN U_h(2) YANG–MILLS THEORY, Two-parameter nonstandard deformation of 2×2 matrices, PRIME SPECTRUM AND AUTOMORPHISMS FOR 2×2 JORDANIAN MATRICES, Bicovariant differential geometry of the quantum group SL\(_ h(2)\), Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$, Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\), QUANTUM FIELD THEORIES, Maps between deformed and ordinary gauge fields, Two-parametric extension of h-deformation of Gr(1|1), \(h\)-deformation of GL\((1| 1)\), Symplecton for Uh(sl(2)) and representations of SLh(2), Two-parameter differential calculus on the h-superplane

Cites Work

• A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
• A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
• Differential geometry on linear quantum groups
• Differential calculus on compact matrix pseudogroups (quantum groups)