11 citations · 12 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
On a class of algebras associated to directed graphs
Israel Gelfand, Vladimir Retakh, Shirlei Serconek +1
To any directed graph we associate an algebra with edges of the graph as generators and with relations defined by all pairs of directed paths with the same origin and terminus. Suc…
Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials
Israel Gelfand, Sergei Gelfand, Vladimir Retakh +2
The quadratic algebras Q_n are associated with pseudo-roots of noncommutative polynomials. We compute the Hilbert series of the algebras Q_n and of the dual quadratic algebras Q_n^…