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hep-th1993★ 48 cited
Poisson-Lie group of pseudodifferential symbols
Boris Khesin, Ilya Zakharevich
We introduce a Lie bialgebra structure on the central extension of the Lie algebra of differential operators on the line and the circle (with scalar or matrix coefficients). This d…
hep-th1993★ 20 cited
Poisson-Lie group of pseudodifferential symbols and fractional KP-KdV hierarchies
Boris Khesin, Ilya Zakharevich
The Lie algebra of pseudodifferential symbols on the circle has a nontrivial central extension (by the ``logarithmic'' 2-cocycle) generalizing the Virasoro algebra. The correspondi…