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Discrete, q-difference deformations of associative algebras and integrable systems | | B.G.Konopelchenko
; | | Date: |
11 Sep 2008 | | Abstract: | 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. | | Source: | arXiv, 0809.1938 | | Services: | Forum | Review | PDF | Favorites | |
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