English

Shuffle algebras for quivers and R-matrices

Representation Theory 2022-03-15 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.2109.14517,
  title  = {Shuffle algebras for quivers and R-matrices},
  author = {Andrei Neguţ},
  journal= {arXiv preprint arXiv:2109.14517},
  year   = {2022}
}
R2 v1 2026-06-24T06:29:13.331Z