Quantum deformations of associative algebras and integrable systems

DOI10.1088/1751-8113/42/9/095201zbMath1159.81032arXiv0802.3022OpenAlexW2031499841MaRDI QIDQ3615479

B. G. Konopelchenko

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0802.3022

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (4)

On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ On the deformation theory of structure constants for associative algebras ⋮ Menelaus Relation, Hirota–Miwa Equation and Fay's Trisecant Formula are Associativity Equations ⋮ Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras

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