Geodesic
Quadratic algebras based on $SL(NM)$ elliptic quantum $R$-matrices
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 355-364

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We construct a quadratic quantum algebra based on the dynamical $RLL$-relation for the quantum $R$-matrix related to $SL(NM)$-bundles with a nontrivial characteristic class over an elliptic curve. This $R$-matrix simultaneously generalizes the elliptic nondynamical Baxter–Belavin and the dynamical Felder $R$-matrices, and the obtained quadratic relations generalize both the Sklyanin algebra and the relations in the Felder–Tarasov–Varchenko elliptic quantum group, which are reproduced in the respective particular cases $M=1$ and $N=1$.
Keywords: quantum quadratic algebras, elliptic integrable system, quantum dynamical $R$-matrix. 
@article{TMF_2021_208_2_a10,
     author = {I. A. Sechin and A. V. Zotov},
     title = {Quadratic algebras based on $SL(NM)$ elliptic quantum $R$-matrices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {355--364},
     publisher = {mathdoc},
     volume = {208},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a10/}
}
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I. A. Sechin; A. V. Zotov. Quadratic algebras based on $SL(NM)$ elliptic quantum $R$-matrices. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 355-364. http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a10/