15 citations · 32 across the 8 of their papers we have counts for
8 papers
Groebner--Shirshov bases method for vertex algebras
R. A. Kozlov, P. S. Kolesnikov
In this note we show how to apply the Gröbner--Shirshov bases (GSB) method for modules over an associative algebra to the study of vertex algebras defined by generators and relatio…
On universal conformal envelopes for quadratic conformal algebras
Roman Kozlov
We prove that every quadratic Lie conformal algebra constructed on a special Gelfand-Dorfman algebra embeds into the universal enveloping associative conformal algebra with a local…
Rota-Baxter operators on
Vsevolod Gubarev, Roman Kozlov
We classify all Rota-Baxter operators on the simple conformal Lie algebra and clarify which of them arise from the solutions to the confor…
Conformal Yang-Baxter equation on
Vsevolod Gubarev, Roman Kozlov
In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An -invariant solution to the weak version of…
Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras
P. S. Kolesnikov, R. A. Kozlov
We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level . A standard basis of defini…
Quadratic Lie conformal superalgebras related to Novikov superalgebras
P. S. Kolesnikov, R. A. Kozlov, A. S. Panasenko
We study quadratic Lie conformal superalgebras associated with No\-vikov superalgebras. For every Novikov superalgebra , we construct an enveloping differential Poisson…
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…
Hochshild cohomology of the associative conformal algebra Cend_{1,x}
Roman Kozlov
It is established in this work that second Hochshild cohomology group of the associative conformal algebra Cend_{1,x} is zero. As a corollary, this algebra split off in each extens…