Shuffle algebras for quivers and R-matrices

Published 29 Sep 2021 in math.RT and math.QA | (2109.14517v2)

Abstract: We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal R-matrix of the double of the shuffle algebra in question. We conjecture that this factorization matches the one defined by [1, 18, 32, 33, 34] using Nakajima quiver varieties.

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Andrei Neguţ

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