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In this short note, we compute the classical limits of the quantum toroidal and the affine Yangian algebras of sl(n) by generalizing our arguments for gl(1) from arXiv:1404.5240.
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1990
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S. Berman, Y. Gao, Y. Krylyuk, Quantum tori and the structure of elliptic quasi-simple Lie algebras
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C. Boyallian, V. Kac, J. Liberati, C. Yan, Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
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M. Varagnolo, E. Vasserot, Double-loop algebras and the Fock space
1998
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K. Miki, Toroidal braid group action and an automorphism of toroidal algebra U q ( 𝔰 𝔩 n + 1 , t o r ) ( n ≥ 2 ) U_{q}(\mathfrak{sl}_{n+1,tor})\ (n\geq 2)
1999
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2013
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