Quantum principal commutative subalgebra in the nilpotent part ofU_q \widehat{sl}_2 and lattice KdV variables |
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Authors: | B Enriquez |
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Institution: | (1) Centre de Mathématiques, URA 169 du CNRS, Ecole Polytechnique, 91128 Palaiseau, France |
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Abstract: | We propose a quantum lattice version of B. Feigin and E. Frenkel's constructions, identifying the KdV differential polynomials with functions on a homogeneous space under the nilpotent part of
. We construct an action of the nilpotent part
of
on their lattice counterparts, and embed the lattice variables in a
, coinduced from a quantum version of the principal commutative subalgebra, which is defined using the identification of
with its dual algebra. |
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Keywords: | |
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