An algebraic scheme associated with the non-commutative KP hierarchy and some of its extensions

DOI10.1088/0305-4470/38/24/005zbMath1075.81035arXivnlin/0501003OpenAlexW2026889372MaRDI QIDQ5462513

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 2 August 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0501003

zbMATH Keywords

Moyal productRota-Baxter algebras

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Deformation quantization, star products (53D55) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (10)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Quasi-symmetric functions and the KP hierarchy ⋮ Non-commutative Ward's conjecture and integrable systems ⋮ Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras ⋮ Integrability and geometry of the Wynn recurrence ⋮ On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Weak associativity and restricted rotation ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation

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