Quadratic Lie conformal superalgebras related to Novikov superalgebras

Quadratic Lie conformal superalgebras related to Novikov superalgebras Full article

Journal

Journal of Noncommutative Geometry
ISSN: 1661-6952 , E-ISSN: 1661-6960

Output data

Year: 2021, Volume: 15, Number: 4, Pages: 1485-1500 Pages count : 16 DOI: 10.4171/jncg/445

Tags

Conformal superalgebra; Gelfand-Dorfman superalgebra; Novikov superalgebra; Poisson superalgebra

Authors

Kolesnikov Pavel S. ¹ , Kozlov Roman A. ^1,2 , Panasenko Aleksander S. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Akad. Koptyug prosp. 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova str. 1, Novosibirsk, 630090, Russian Federation

We study quadratic Lie conformal superalgebras associated with Novikov superalgebras. For every Novikov superalgebra .V; ı/, we construct an enveloping differential Poisson superalgebra U.V / with a derivation d such that u ı v D ud.v/ and ¹u; vº D u ı v

Kolesnikov P.S. , Kozlov R.A. , Panasenko A.S.
Quadratic Lie conformal superalgebras related to Novikov superalgebras
Journal of Noncommutative Geometry. 2021. V.15. N4. P.1485-1500. DOI: 10.4171/jncg/445 WOS Scopus OpenAlex

Submitted:

Jan 3, 2020

Web of science:	WOS:000735859100011
Scopus:	2-s2.0-85123776817
OpenAlex:	W2992745798

DB	Citing
Scopus	5
OpenAlex	6
Web of science	5