Discrete, q-difference deformations of associative algebras and integrable systems

dc.creatorKonopelchenko, B. G.
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:04:33Z
dc.date.available2026-07-07T10:04:33Z
dc.descriptionDiscrete and q-difference deformations of the structure constants for a class of associative noncommutative algebras are studied. It is shown that these deformations are governed by a central system of discrete or q-difference equations which in particular cases represent discrete and q-difference versions of the oriented associativity equation. It is demonstrated also that the celebrated Hirota-Miwa bilinear equation for the AKP and BKP hierarchies describes discrete deformations of certain finite-dimensional algebras.
dc.descriptionTalk given at the workshop SIDE8, June 22-28, 2008, Sainte-Adele, Canada
dc.identifierhttps://arxiv.org/abs/0809.1938
dc.identifierhttp://arxiv.org/abs/0809.1938
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169716
dc.subjectExactly Solvable and Integrable Systems
dc.subjectRings and Algebras
dc.titleDiscrete, q-difference deformations of associative algebras and integrable systems
dc.typetext

Files

Collections