18 citations · 57 across the 24 of their papers we have counts for
26 papers
Golod-Shafarevich-Vinberg type theorems and finiteness conditions for potential algebras
Natalia Iyudu, Stanislav Shkarin
We obtain a lower estimate for the Hilbert series of Jacobi algebras and their completions by providing analogue of the Golog-Shafarevich-Vinberg theorem for potential case. We esp…
Sklyanin algebras and a cubic root of 1
Natalia Iyudu, Stanislav Shkarin
We consider Sklyanin algebras with 3 generators, which are quadratic algebras over a field $\K$ with generators given by relations , $pyz+qzy+rxx…
Pre-Calabi-Yau algebras and noncommutative calculus on higher cyclic Hochschild cohomology
Natalia Iyudu, Maxim Kontsevich
We prove -formality for the higher cyclic Hochschild complex $\chH$ over free associative algebra or path algebra of a quiver. The $\chH$ complex is introduced as an ap…
Classification of contraction algebras and pre-Lie algebras associated to braces and trusses
Natalia Iyudu
We develop tools for classification of contraction algebras and apply these to solve the problem on classification up to isomorphism of 8 and 9 dimensional algebras corresponding t…
Homologies of monomial operads and algebras
Natalia Iyudu, Ioannis Vlassopoulos
We consider the bar complex of a monomial non-unital associative algebra . It splits as a direct sum of complexes , defined for any fixe…
Pre-Calabi-Yau algebras and double Poisson brackets
Natalia Iyudu, Maxim Kontsevich, Yannis Vlassopoulos
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears as a particular part of a pre-Calabi-Yau structure, i.e. cyclically invariant, w…