42 citations · 322 across the 32 of their papers we have counts for
5 papers · 1 filter
Global Weyl modules for thin Lie algebras are finite-dimensional
Vladimir Dotsenko, Sergey Mozgovoy
The notion of Weyl modules, both local and global, goes back to Chari and Pressley in the case of affine Lie algebras, and has been extensively studied for various Lie algebras gra…
Quiver representations in abelian categories
Sergey Mozgovoy
We introduce the notion of (twisted) quiver representations in abelian categories and study the category of such representations. We construct standard resolutions and coresolution…
On the number of stable quiver representations over finite fields
Sergey Mozgovoy, Markus Reineke
We prove a new formula for the generating function of polynomials counting absolutely stable representations of quivers over finite fields. The case of irreducible representations…
On the multiplicities of the irreducible highest weight modules over Kac-Moody algebras
Sergey Mozgovoy
We prove that the weight multiplicities of the integrable irreducible highest weight module over the Kac-Moody algebra associated to a quiver are equal to the root multiplicities o…
A computational criterion for the Kac conjecture
Sergey Mozgovoy
We give a criterion for the Kac conjecture asserting that the free term of the polynomial counting the absolutely indecomposable representations of a quiver over a finite field of…