GL(NM) quantum dynamical $R$-matrix based on solution of the associative Yang-Baxter equation
Autor: | Sechin, I., Zotov, A. |
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Rok vydání: | 2019 |
Předmět: | |
Zdroj: | Russian Math. Surveys, 74:4 (2019) 767-769 |
Druh dokumentu: | Working Paper |
DOI: | 10.1070/RM9897 |
Popis: | In this letter we construct ${\rm GL}_{NM}$-valued dynamical $R$-matrix by means of unitary skew-symmetric solution of the associative Yang-Baxter equation in the fundamental representation of ${\rm GL}_{N}$. In $N=1$ case the obtained answer reproduces the ${\rm GL}_{M}$-valued Felder's $R$-matrix, while in the $M=1$ case it provides the ${\rm GL}_{N}$ $R$-matrix of vertex type including the Baxter-Belavin's elliptic one and its degenerations. Comment: 6 pages, minor changes |
Databáze: | arXiv |
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