P. Kolesnikov

activity

20022026

most citedOn embedding of dendriform algebras into Rota---Baxter algebras

67 citations · 287 across the 41 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.RA2018

The Hochschild cohomology of the group $G_{3}^{2}$

Hassan AlHussein, Pavel Kolesnikov

We apply discrete algebraic Morse theory to calculate the Anick resolution of the group algebra of the group $G_{3}^{2}$ . As a corollary, we evaluate Hochschild cohomologies of $G_{3}^{2}$ …

math.QA2018

Derived identities of differential algebras

P. S. Kolesnikov

Suppose $A$ is a not necessarily associative algebra with a derivation $d$ . Then $A$ may be considered as a system with two binary operations $≻$ and $≺$ defined by $x\su…

math.QA2018★ 15 cited

On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation

P. S. Kolesnikov, R. A. Kozlov

Associative conformal algebras of conformal endomorphisms are of essential importance for the study of finite representations of conformal Lie algebras (Lie vertex algebras). We de…

math.QA2018

Groebner---Shirshov bases for associative conformal algebras with arbitrary locality function

Pavel Kolesnikov

We present an approach to the computation of confluent systems of defining relations in associative conformal algebras based on the similar technique for modules over ordinary asso…

The Hochschild cohomology of the group G32​

Derived identities of differential algebras

On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation

Groebner---Shirshov bases for associative conformal algebras with arbitrary locality function

The Hochschild cohomology of the group $G_{3}^{2}$