157 citations · 353 across the 9 of their papers we have counts for
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q-alg1997★ 5 cited
Quasi-Hopf twistors for elliptic quantum groups
M. Jimbo, H. Konno, S. Odake +1
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type. On the basis of these solutions, two types of elliptic quantum groups have bee…
q-alg1996★ 3 cited
Quantum Deformation of the W_N Algebra
H. Awata, H. Kubo, S. Odake +1
We review the W_N algebra and its quantum deformation, based on free field realizations. The (quantum deformed) W_N algebra is defined through the (quantum deformed) Miura transfor…
q-alg1995★ 156 cited
Quantum Algebras and Macdonald Polynomials
H. Awata, H. Kubo, S. Odake +1
We derive a quantum deformation of the algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.