The R-matrix of the quantum toroidal algebra

2020/05/28 by Neguţ, Andrei
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2005.14182

Abstract

We consider the R-matrix of the quantum toroidal algebra of type gl₁, 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.

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