11 citations · 19 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Shuffle algebras, lattice paths and quantum toroidal
Alexandr Garbali, Andrei Neguţ
We describe and compute various families of commuting elements of the matrix shuffle algebra of type , which is expected to be isomorphic to quantum toroidal $…
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…