New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations

Details New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity: cyclic representations

2012-03-29

arxiv.org/abs/1203.6528v1

Physics

Mathematical Physics

24 pages

Scientific paper

We find the all solutions to the $sl_q(2)$-invariant multi-parametric
Yang-Baxter equations (YBE) at $q=i$ using cyclic (semi-cyclic, nilpotent)
representations of the algebra.

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