Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation

Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
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椭圆曲线上的半稳定向量丛和关联Yang-Baxter方程

DOI:
10.1016/j.geomphys.2011.11.001
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发表时间:
2012
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
T. Henrich
T. Henrich
中科院分区:
--
文献类型:
--
作者:
I. Burban;T. Henrich

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本文研究带谱参数的结合杨-巴克斯特方程(AYBE)的酉解。我们证明了对于上半平面上的每个点τ和一个复系数可逆(n×n)矩阵B,我们可以得到一个值在Matn×n(C)⊗Matn×n(C)中的解,其值完全依赖于τ和B,并且我们显式地计算了其中一些解。
In this paper, we study unitary solutions of the associative Yang–Baxter equation (AYBE) with spectral parameters. We show that to each point τ from the upper half-plane and an invertible (n×n) matrix B with complex coefficients, one can attach a solution of AYBE with values in Matn×n(C)⊗Matn×n(C), depending holomorphically on τ and B. Moreover, we compute some of these solutions explicitly.
关于椭圆 Dunkl 算子
DOI: 10.1307/mmj/1220879410
发表时间: 2007
影响因子: 0.9
作者:
P. Etingof;Xiaoguang Ma
通讯作者: Xiaoguang Ma
DOI: 10.1145/3173225.3173232
发表时间: 2006
期刊: Proceedings of the Twelfth International Conference on Tangible, Embedded, and Embodied Interaction
影响因子: --
作者:
A. Polishchuk
通讯作者: A. Polishchuk