\( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\)

DOI10.1007/s00220-020-03817-xzbMath1458.37068arXiv1909.03301OpenAlexW2971851095MaRDI QIDQ2216759

Daniele Valeri, Victor G. Kac, Alberto De Sole, Sylvain Carpentier, Johan W. van de Leur

Publication date: 17 December 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03301

zbMATH Keywords

Hamiltonian PDEKP hierarchyintegrable hierarchyPoisson vertex algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Poisson algebras (17B63)

Related Items

Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras, Darboux transformations of the modified BKP hierarchy by fermionic approach, On Lax operators, The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type

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