Shuffle algebras for quivers and R-matrices

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.

References in corpus (6)

• Quiver varieties and tensor products
• The cohomological Hall algebra of a preprojective algebra
• Inductive construction of stable envelopes
• On cohomological Hall algebras of quivers : Yangians
• K-theoretic Hall algebras for quivers with potential
• Nonabelian stable envelopes, vertex functions with descendents, and integral solutions of $q$-difference equations