11 citations · 16 across the 9 of their papers we have counts for
3 papers · 1 filter
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…
Codes and Noncommutative Stochastic Matrices
Sylvain Lavallée, Christophe Reutenauer, Vladimir Retakh +1
Given a matrix over a skew field fixing the column (1,...,1)^t, we give formulas for a row vector fixed by this matrix. The same techniques are applied to give noncommutative exten…
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…