101 citations · 968 across the 80 of their papers we have counts for
6 papers · 1 filter
Distributive laws between the operads Lie and Com
Murray Bremner, Vladimir Dotsenko
Using methods of computer algebra, especially Gröbner bases for submodules of free modules over polynomial rings, we solve a classification problem in theory of algebraic operads:…
Four spins correlation function of the states Potts model, for general values of . Its percolation model limit
Vladimir S. Dotsenko
Under the assumption that the product of two spin operators decomposes uniquely into the degenerate conformal fields , the general expression for the correlation func…
Finite generation for Hochschild cohomology of Gorenstein monomial algebras
Vladimir Dotsenko, Vincent Gélinas, Pedro Tamaroff
We show that a finite dimensional monomial algebra satisfies the finite generation conditions of Snashall-Solberg for Hochschild cohomology if and only if it is Gorenstein. This gi…
Word operads and admissible orderings
Vladimir Dotsenko
We use Giraudo's construction of combinatorial operads from monoids to offer a conceptual explanation of the origins of Hoffbeck's path sequences of shuffle trees, and use it to de…
Functorial PBW theorems for post-Lie algebras
Vladimir Dotsenko
Using the categorical approach to Poincaré-Birkhoff-Witt type theorems from our previous work with Tamaroff, we prove three such theorems: for universal enveloping Rota-Baxter alge…
Homotopy invariants for via Koszul duality
Vladimir Dotsenko
We show that the integral cohomology rings of the moduli spaces of stable rational marked curves are Koszul. This answers an open question of Manin. Using the machinery of Koszul s…