16 citations · 36 across the 15 of their papers we have counts for
16 papers
Generalized root systems
Ivan Dimitrov, Rita Fioresi
We generalize the notion of a root system by relaxing the conditions that ensure that it is invariant under reflections and study the resulting structures, which we call generalize…
Left-symmetric Superalgebras on Special Linear Lie Superalgebras
Ivan Dimitrov, Runxuan Zhang
In this paper, we study the existence and classification problems of left-symmetric superalgebras on special linear Lie superalgebras with . The mai…
Representations of free products of semisimple algebras via quivers
Andrew Buchanan, Ivan Dimitrov, Olivia Grace +3
Let denote an algebraically closed field and a free product of finitely many semisimple associative -algebras. We associate to a finite acyclic qui…
Subregular -rings of Coxeter systems via quiver path algebras
Ivan Dimitrov, Charles Paquette, David Wehlau +1
We study the subregular -ring of a Coxeter system , a subring of Lusztig's -ring. We prove that is isomorphic to a quotient of the path algebra of the doub…
On Kostant Root Systems for Lie Superalgebras
I. Dimitrov, R. Fioresi
We study the eigenspace decomposition of a basic classical Lie superalgebra under the adjoint action of a toral subalgebra, thus extending results of Kostant. In recognition of Kos…
Intersection multiplicity one for classical groups
Ivan Dimitrov, Mike Roth
In this paper we show that when is a classical semi-simple algebraic group, a Borel subgroup, and , t…