ProV Logo
0

Degenerate Sklyanin Algebras
Smirnov, Andrey...
Degenerate Sklyanin Algebras by Smirnov, Andrey ( Author )
N.A
01-03-2009
New trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2,C). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special limits of the Sklyanin algebra. A representation for these algebras by the difference operators is found. The sl(N,C)-case is discussed.
-
Article
pdf
36.88 KB
English
-
MYR 0.00
-
https://arxiv.org/abs/0903.1466
Share this eBook