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math.RT2021★ 1 cited
Shuffle algebras for quivers as quantum groups
Andrei Neguţ, Francesco Sala, Olivier Schiffmann
We define a quantum loop group associated to an arbitrary quiver and maximal set of deformation parameters, with generators indexed by $I \times \mathbb{…
math.RT2021
Shuffle algebras for quivers and R-matrices
Andrei Neguţ
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…
math.RT2021★ 8 cited
Quantum loop groups and shuffle algebras via Lyndon words
Andrei Neguţ, Alexander Tsymbaliuk
We study PBW bases of the untwisted quantum loop group (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment…