31 citations · 246 across the 22 of their papers we have counts for
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Irreducibility criterion for a finite-dimensional highest weight representation of the sl(2) loop algebra and the dimensions of reducible representations
Tetsuo Deguchi
We present a necessary and sufficient condition for a finite-dimensional highest weight representation of the loop algebra to be irreducible. In particular, for a highest we…
Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the loop algebra
Tetsuo Deguchi
In a Borel subalgebra U(B) of the sl(2) loop algebra, we introduce a highest weight vector . We call such a representation of U(B) that is generated by highest weight. We de…
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…
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…
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 …