17 citations · 69 across the 27 of their papers we have counts for
4 papers · 2 filters
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…
Characters of quantum loop algebras
Andrei Neguţ
The q-characters of quantum loop algebras are very important objects in representation theory. In [20], we showed that q-characters factor as a power series of the form studied in…
Category O for quantum loop algebras
Andrei Neguţ
We generalize the Hernandez-Jimbo category O of representations of Borel subalgebras of quantum affine algebras to the case of quantum loop algebras for arbitrary Kac-Moody g (as w…