Commutative subalgebra of a shuffle algebra associated with quantum toroidal \(\mathfrak{gl}_{m|n}\)

DOI10.1016/j.jpaa.2024.107619arXiv2306.05223MaRDI QIDQ6199088

Boris L. Feigin, Evgenii E. Mukhin, Michio Jimbo

Publication date: 23 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.05223

zbMATH Keywords

integrals of motionshuffle algebraBethe algebraquantum toroidal \(\mathfrak{gl}_{m|n}\)

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Applications of Lie algebras and superalgebras to integrable systems (17B80) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
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• Braid actions on quantum toroidal superalgebras
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• A commutative algebra on degenerate CP1 and Macdonald polynomials
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• Towards trigonometric deformation of sl^2 coset VOA
• Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
• Quasimap counts and Bethe eigenfunctions