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The R-matrix of the quantum toroidal algebra (2005.14182v3)
Published 28 May 2020 in math.QA, hep-th, math-ph, and math.MP
Abstract: We consider the R-matrix of the quantum toroidal algebra of type gl_1, both abstractly and in Fock space representations. We provide a survey of a certain point of view on this object which involves the elliptic Hall and shuffle algebras, and show how to obtain certain explicit formulas.