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math.RT2016★ 5 cited
Classical limits of quantum toroidal and affine Yangian algebras
Alexander Tsymbaliuk
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. T…
math.RT2016★ 16 cited
Several realizations of Fock modules for quantum toroidal algebras of sl(n)
Alexander Tsymbaliuk
In this paper, we relate the well-known Fock representations of the quantum toroidal algebra of sl(n) to the vertex, shuffle, and L-operator representations of the same algebra. Th…