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$W_{1+\infty}$ flows and multi-component hierarchy (KP case)
Published 21 Nov 2023 in nlin.SI | (2311.12995v2)
Abstract: We show that abelian subalgebras of generalized $W_{1+\infty}$ ($GW_{1+\infty}$) algebra gives rise to the multicomponent KP flows. The matrix elements of the related group elements in the fermionic Fock space is expressed as a product of a certain factor (generalized content product) and of a number of the Schur functions and the skew Schur functions.
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