A Hidden Hierarchy for GD 4 Paolo
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چکیده
A reduction process to construct hidden hierarchies corresponding to the Gelfand– Dickey ones is outlined in a specific example, not yet treated in the literature.
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We consider the Gelfand-Dickey (GD) structure defined by the Moyal ⋆-product with parameter κ, which not only defines the bi-Hamiltonian structure for the generalized Moyal KdV hierarchy but also provides a W (κ) n algebra containing the Virasoro algebra as a subalgebra with central charge κ2(n3 − n)/3. The free-field realization of the W (κ) n algebra is given through the Miura transformation ...
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تاریخ انتشار 2001