Generalized q-deformed Gelfand-Dickey structures on the group of q-pseudodifference operators

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We define the q-deformed Gelfand-Dickey bracket on the space of q-pseudodifference symbols which agrees with the Poisson Virasoro algebra of E.Frenkel and N.Reshetikhin and its generalizations and prove its uniqueness (in a natural class of quadratic Poisson structures). The associated hierarchies of nonlinear q-difference equations are also constructed.
34 pages, AMSLATEX

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Quantum Algebra, 17B65, 17B68 (Primary) 17B37 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77659

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9811025
 http://arxiv.org/abs/math/9811025

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arXiv