17 citations · 69 across the 27 of their papers we have counts for
30 papers
Folding shuffle algebras and twisted -characters
Andrei Neguţ, Keyu Wang
Using our new notion of folding shuffle algebras, we prove a conjecture of Hernandez on the equality between certain -characters of quantum untwisted affine algebra modules and…
-theoretic Hall algebras and Coulomb branches
Shivang Jindal, Andrei Neguţ
We construct a surjective homomorphism from the (suitably interpreted) double loop-nilpotent -theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory, usin…
Borel and shifted category O
David Hernandez, Andrei Neguţ
We prove a precise relation between simple modules in the Borel category O and the shifted category O for a symmetrizable Kac-Moody Lie algebra.
A new new coproduct on quantum loop algebras
Andrei Neguţ
Quantum loop algebras generalize for simple Lie algebras , and they include examples such as quantum affinizations of Kac-Moody Lie alge…
Extremal monomials of -characters
Andrei Neguţ
In this short paper, we prove a conjecture of Frenkel-Hernandez, which states that -characters of finite-dimensional simple modules of the quantum affine algebra $U_q(\widehat{\…
Quiver moduli and quantum loop algebras
Andrei Neguţ
A classic result of Hernandez-Leclerc and Kashiwara-Kim-Oh-Park relates the q-characters of so-called reachable simple modules of quantum affine algebras to the Euler characteristi…