On the degenerate multiplicity of the \(sl_2\) loop algebra for the 6V transfer matrix at roots of unity

DOI10.3842/SIGMA.2006.021zbMath1098.81049arXivcond-mat/0602427OpenAlexW1971889899MaRDI QIDQ2495172

Tetsuo Deguchi

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0602427

zbMATH Keywords

quantum grouploop algebrathe six-vertex modelDrinfeld polynomial

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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