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math-ph2021★ 3 cited
Computing the R-matrix of the quantum toroidal algebra
Alexandr Garbali, Andrei Neguţ
We consider the problem of the R-matrix of the quantum toroidal algebra in the Fock representation. Using the connection between the R-matrix $R(u…
math.RT2021
Shuffle algebras for quivers and wheel conditions
Andrei Neguţ
We show that the shuffle algebra associated to a doubled quiver (determined by 3-variable wheel conditions) is generated by elements of minimal degree. Together with results of Var…