15 citations · 32 across the 8 of their papers we have counts for
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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…
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…
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…