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Quantum toroidal and shuffle algebras
Published 25 Feb 2013 in math.RT, math.AG, and math.QA | (1302.6202v5)
Abstract: 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. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R-matrix of the quantum toroidal algebra.
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