%0 Journal Article
%T Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
%A Igor Burban
%A Thilo Henrich
%J Mathematics
%D 2010
%I arXiv
%X In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point $\tau$ from the upper half-plane and an invertible $n \times n$ matrix $B$ with complex coefficients one can attach a solution of AYBE with values in $Mat_{n \times n}(\CC) \otimes Mat_{n \times n}(\CC)$, depending holomorphically on $\tau$ and $B$. Moreover, we compute some of these solutions explicitly.
%U http://arxiv.org/abs/1011.4591v1