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• W3100338766 abstract "We construct affinization of the algebra $$mathfrak{g}mathfrak{l}_lambda$$ of “complex size” matrices, that contains the algebras $$hat gmathfrak{l}_n$$ for integral values of the parameter. The Drinfeld-Sokolov Hamiltonian reduction of the algebra $$hat gmathfrak{l}_lambda$$ results in the quadratic Gelfand-Dickey structure on the Poisson-Lie group of all pseudodifferential operators of complex order. This construction is extended to the simultaneous deformation of orthogonal and symplectic algebras which produces self-adjoint operators, and it has a counterpart for the Toda lattices with fractional number of particles." @default.
• W3100338766 created "2020-11-23" @default.
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• W3100338766 date "1996-01-01" @default.
• W3100338766 modified "2023-10-16" @default.
• W3100338766 title "Universal Drinfeld-Sokolov reduction and matrices of complex size" @default.
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• W3100338766 doi "https://doi.org/10.1007/bf02101626" @default.
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