Quantum Torus Lie Algebra in the q-Deformed Kadomtsev–Petviashvili System

DOI10.1142/S1005386719000439zbMATH Open1436.37085OpenAlexW2991414852WikidataQ115244683 ScholiaQ115244683MaRDI QIDQ4973556

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Publication date: 28 November 2019

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386719000439

zbMATH Keywords

Baker-Akhiezer functionghost symmetryquantum torus constraintquantum torus symmetry\(q\)-KP hierarchymulti-component \(q\)-KP hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (2)

Quantum torus algebras and B(C)-type Toda systems ⋮ Quantum torus symmetries of the CKP and multi-component CKP hierarchies

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