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arXiv · 2304.05737

Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras

Victor Kac·Johan van de Leur
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Abstract

This, to a large extent, expository paper, describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X=A, B, C or D, and AKP=KP, and their reductions, associated to the conjugacy classes of the Weyl groups of classical Lie algebras of type X. As usual, the main tool is the multicomponent boson-fermion correspondence, which leads to the corresponding tau-functions, wave functions, dressing operators and Lax operators.

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Victor Kac, Johan van de Leur. 2023-04-12. Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras. https://arxiv.org/abs/2304.05737

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