10 papers · 1 filter
BPS Lie algebras, perverse filtrations and shuffle algebras
Shivang Jindal, Andrei Neguţ
We give an explicit description of the BPS Lie algebra of any quiver with zero potential, by relating the perverse filtration on the cohomological Hall algebra with certain limit c…
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…
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…
-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.
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…