On a two-parameter generalization of Hecke algebras and the XY chain in a magnetic field

DOI10.1063/1.529843zbMath0788.20006OpenAlexW1967531868MaRDI QIDQ4030999

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Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529843

zbMATH Keywords

magnetic fieldcentralizer algebraPauli matrices\(XY\) chain representationtwo-parameter generalization of Hecke algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of group representations to physics and other areas of science (20C35) Applications of linear algebraic groups to the sciences (20G45)

Cites Work

• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain

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