21 citations · 40 across the 6 of their papers we have counts for
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math.QA2002
Quasi-exact solvability of Inozemtsev models
Kouichi Takemura
Finite-dimensional spaces which are invariant under the action of the Hamiltonian of the BC_N Inozemtsev model are introduced, and it is shown that higher commuting operators also…
math.QA2000
On the eigenstates of the elliptic Calogero-Moser model
Kouichi Takemura
It is known that the trigonometric Calogero-Sutherland model is obtained by the trigonometric limit (τ\to \sqrt{-1} \infty) of the elliptic Calogero-Moser model, where (1,τ) is a b…
math.QA1998
Representations of the Quantum Toroidal Algebra on highest weight modules of the Quantum Affine Algebra of type gl(N)
K. Takemura, D. Uglov
A representation of the Quantum Toroidal Algebra of type sl(N) is constructed on every irreducible integrable highest weight module of the Quantum Affine Algebra of type gl(N). As…