On quantum spin-chain spectra and the structure of Hecke algebras andq-groups at roots of unity

DOI10.1088/0305-4470/31/50/010zbMath0953.82014OpenAlexW2062332204WikidataQ61847555 ScholiaQ61847555MaRDI QIDQ4259812

David J. Woodcock, Paul P. Martin

Publication date: 4 February 2001

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/50/010

zbMATH Keywords

invariantsirreducible modulesindecomposable tilting modulesordinary representationquotients of Hecke algebras\(q\)-deformation of classical Weyl moduleinvariant quantum spin chainsvariation energy level

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

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