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- W2996502709 abstract "We prove that the quantum toroidal algebras $mathcal{E}_mathbf{s}$ associated with different root systems $mathbf{s}$ of $mathfrak{gl}_{m|n}$ type are isomorphic. We also show the existence of Miki automorphism of $mathcal{E}_mathbf{s}$, which exchanges the vertical and horizontal subalgebras. To obtain these results, we establish an action of the toroidal braid group on the direct sum $oplus_mathbf{s} mathcal{E}_mathbf{s}$ of all such algebras." @default.
- W2996502709 created "2019-12-26" @default.
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- W2996502709 date "2019-12-18" @default.
- W2996502709 modified "2023-09-23" @default.
- W2996502709 title "Braid actions on quantum toroidal superalgebras" @default.
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- W2996502709 doi "https://doi.org/10.48550/arxiv.1912.08729" @default.
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