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Showing 2006 · cond-mat.stat-mechShow all
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cond-mat.stat-mech2006★ 31 cited
The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
Akinori Nishino, Tetsuo Deguchi
The loop algebra symmetry is found in a sector of the nilpotent Bazhanov-Stroganov model. The Drinfeld polynomial of a -degenerate eige…
cond-mat.stat-mech2006★ 7 cited
The six-vertex model at roots of unity and some highest weight representations of the sl(2) loop algebra
Tetsuo Deguchi
We discuss irreducible highest weight representations of the sl(2) loop algebra and reducible indecomposable ones in association with the sl(2) loop algebra symmetry of the six-ver…
cond-mat.stat-mech2006★ 1 cited
On the Degenerate Multiplicity of the Loop Algebra for the 6V Transfer Matrix at Roots of Unity
Tetsuo Deguchi
We review the main result of cond-mat/0503564. The Hamiltonian of the XXZ spin chain and the transfer matrix of the six-vertex model has the loop algebra symmetry if the …