21 citations · 33 across the 12 of their papers we have counts for
12 papers
A generalization of Lazard's elimination theorem
Elizabeth Jurisich, Robert L. Wilson
Using the classical Lazard's elimination theorem, we obtain a decomposition theorem for Lie algebras defined by generators and relations of a certain type. This is a preprint versi…
Hilbert series of algebras associated to direct graphs and order homology
Vladimir Retakh, Shirlei Serconek, Robert Wilson
We give a homological interpretation of the coefficients of the Hilbert series for an algebra associated with a directed graph and its dual algebra. This allows us to obtain necess…
Koszulity of splitting algebras associated with cell complexes
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For…
Algebras associated to acyclic directed graphs
Vladimir Retakh, Robert Lee Wilson
We construct and study a class of algebras associated to generalized layered graphs, i.e. directed graphs with a ranking function on their vertices. Each finite directed acyclic gr…
Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
This is a survey of recently published results. We introduce and study a wide class algebras associated to directed graphs and related to factorizations of noncommutative polynomia…
Hilbert series of algebras associated to directed graphs
Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson
Few changes. We compute the Hilbert series of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials.