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math.QA1999
Q-pseudodifference Drinfeld-Sokolov reduction for algebra of complex size matrices
A. L. Pirozerski, M. A. Semenov-Tian-Shansky
The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesi…
math.QA1998
Generalized q-deformed Gelfand-Dickey structures on the group of q-pseudodifference operators
A. L. Pirozerski, M. A. Semenov-Tian-Shansky
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 gen…