67 citations · 287 across the 41 of their papers we have counts for
45 papers
Cohomology theory of Novikov algebras and applications
Pavel Kolesnikov, Yue Li, Yunhe Sheng +1
In this paper, first we give a new characterization of the cohomology of pre-Lie algebras using the Chevalley-Eilenberg cohomology associated to a morphism from the operad of Lie a…
Differential envelopes of Novikov conformal algebras
P. S. Kolesnikov, A. A. Nesterenko
A Novikov conformal algebra is a conformal algebra such that its coefficient algebra is right-symmetric and left commutative (i.e., it is an ``ordinary'' Novikov algebra). We prove…
Hochschild cohomology of the algebra of conformal endomorphisms
H. Alhussein, P. Kolesnikov
We prove that all Hochschild cohomology groups of the associative conformal algebra of conformal endomorphisms with coefficients in an arbitrary conformal bimodul…
On Pre-Novikov Algebras and Derived Zinbiel Variety
Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev
For a non-associative algebra with a derivation , its derived algebra is the same space equipped with new operations , , $a,b\i…
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
H. Alhussein, P. Kolesnikov
In this work we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal ass…
Noncommutative Novikov algebras
P. Kolesnikov, B. Sartayev
The class of Novikov algebras is a popular object of study among classical nonassociative algebras. The generic example of a Novikov algebra may be obtained from a differential ass…