5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.QA2005
On a class of Koszul algebras associated to directed graphs
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
In math.QA/0506507 I. Gelfand and the authors introduced and studied a new class of algebras associated to directed graphs. In this paper we show that these algebras are Koszul for…
math.QA2004
Noncommutative Double Bruhat cells and their factorizations
Arkady Berenstein, Vladimir Retakh
In the present paper we study noncommutative double Bruhat cells. Our main results are explicit positive matrix factorizations in the cells via quasiminors of matrices with noncomm…
math.QA2003★ 5 cited
Quasideterminants and Casimir elements for the general Lie superalgebra
Alexander Molev, Vladimir Retakh
We apply the techniques of quasideterminants to construct new families of Casimir elements for the general Lie superalgebra whose images under the Harish-Chandra isomorphism are re…