Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane

DOI10.1016/S0034-4877(01)90001-1zbMath0974.81024MaRDI QIDQ5933505

Ahmed Jellal

Publication date: 12 December 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

representation theorydegeneracyconstant magnetic fieldelectron in magnetic fieldlowest Landau levelPoincaré half-planequantum superalgebraspin 1/2 electronsymmetry algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Cites Work

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• Integrable electron model with correlated hopping and quantum supersymmetry.
• Solutions of the graded classical Yang-Baxter equation and integrable models
• Laughlin states on the Poincaré half-plane and their quantum group symmetry
• Lie algebra of Diff_AT²and Bloch electrons in a constant uniform magnetic field

This page was built for publication: Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane