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math.RT2022★ 1 cited
Quantum loop groups for symmetric Cartan matrices
Andrei Neguţ
We introduce a quantum loop group associated to a general symmetric Cartan matrix, by imposing just enough relations between the usual generators $\{e_{i,k}, f_{i,k}\}_{i \in I, k…
math.GT2022
The Trace of the affine Hecke category
Eugene Gorsky, Andrei Neguţ
We compare the (horizontal) trace of the affine Hecke category with the elliptic Hall algebra, thus obtaining an "affine" version of the construction of [14]. Explicitly, we show t…