233 citations · 2.4k across the 47 of their papers we have counts for
Showing 1995 · q-algShow all
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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.
q-alg1995★ 195 cited
A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
Jun'ichi Shiraishi, Harunobu Kubo, Hidetoshi Awata +1
A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Viras…
q-alg1995★ 46 cited
Integral Representations of the Macdonald Symmetric Functions
Hidetoshi Awata, Satoru Odake, Jun'ichi Shiraishi
Multiple-integral representations of the (skew-)Macdonald symmetric functions are obtained. Some bosonization schemes for the integral representations are also constructed.