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In this paper, we prove that the quantum toroidal algebra of gl_n is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver.
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Feigin B., Tsymbaliuk A. Bethe subalgebras of quantum affine U q ( 𝔤 𝔩 ^ n ) U_{q}(\widehat{{\mathfrak{gl}}}_{n}) via shuffle algebras
2016
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Feigin B., Odesskii A. Quantized moduli spaces of the bundles on the elliptic curve and their applications
2001
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Feigin B., Jimbo M., Mukhin E., Integrals of motion from quantum toroidal algebras
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Bershtein M., Tsymbaliuk A., Homomorphisms between different quantum toroidal and affine Yangian algebras
2019
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