T. Deguchi

activity

20002013

most citedThe L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model

31 citations · 214 across the 17 of their papers we have counts for

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math-ph2006★ 7 cited

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 $s l_{2}$ loop algebra to be irreducible. In particular, for a highest we…

math-ph2006★ 2 cited

Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the $s l_{2}$ loop algebra

Tetsuo Deguchi

In a Borel subalgebra U(B) of the sl(2) loop algebra, we introduce a highest weight vector $Ψ$ . We call such a representation of U(B) that is generated by $Ψ$ highest weight. We de…

Irreducibility criterion for a finite-dimensional highest weight representation of the sl(2) loop algebra and the dimensions of reducible representations

Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the sl2​ loop algebra

Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the $s l_{2}$ loop algebra