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

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Discrete 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.
Talk given at the workshop SIDE8, June 22-28, 2008, Sainte-Adele, Canada

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Exactly Solvable and Integrable Systems, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/169716

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1938
 http://arxiv.org/abs/0809.1938

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arXiv