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math.RA2008★ 11 cited
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…
math.RA2008
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…