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BIMSA Integrable Systems Seminar
The associative Yang-Baxter equation and R-matrix Lax pairs for Calogero models
The associative Yang-Baxter equation and R-matrix Lax pairs for Calogero models
演讲者
Maria Matushko
时间
2025年03月31日 17:00 至 18:00
地点
A3-1a-205
线上
Zoom 873 9209 0711
(BIMSA)
摘要
The elliptic Calogero-Moser system admits the so-called $R$-matrix Lax pair presentation, the matrix elements are expressed in terms of the quantum $GL_N$ Baxter-Belavin elliptic $R$-matrices. For $N = 1$ this construction reproduces the Krichever’s Lax pair with spectral parameter. The equations of motion follow from the associative Yang-Baxter equation for the elliptic Baxter-Belavin $R$-matrix.
I will tell how to extend the Kirillov's $B$-type associative Yang-Baxter equations to the similar relations depending on the spectral parameters and to construct an $R$-matrix valued Lax pair in terms of the $8$-vertex elliptic R-matrix for the Calogero-Inozemtsev system.
I will tell how to extend the Kirillov's $B$-type associative Yang-Baxter equations to the similar relations depending on the spectral parameters and to construct an $R$-matrix valued Lax pair in terms of the $8$-vertex elliptic R-matrix for the Calogero-Inozemtsev system.