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Poisson and Filippov superalgebras Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2015, Volume: 56, Number: 3, Pages: 505-515 Pages count : 11 DOI: 10.1134/S0037446615030143
Tags Poisson superalgebra, Filippov superalgebra, simple superalgebra, Grassmann superalgebra
Authors Pozhidaev Aleksandr Petrovich 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Abstract: We establish a connection between the Poisson superalgebras with some additional (Farkas) identity and the Filippov superalgebras. This construction yields all available simple Filippov algebras. We also exhibit new examples of simple finite-dimensional Filippov superalgebras of characteristic 2.
Cite: Pozhidaev A.P.
Poisson and Filippov superalgebras
Siberian Mathematical Journal. 2015. V.56. N3. P.505-515. DOI: 10.1134/S0037446615030143 WOS Scopus OpenAlex
Original: Пожидаев А.П.
Супералгебры Пуассона и Филиппова
Сибирский математический журнал. 2015. Т.56. №3. С.637-649. DOI: 10.17377/smzh.2015.56.314 РИНЦ
Dates:
Published print: May 29, 2015
Identifiers:
Web of science: WOS:000356826600014
Scopus: 2-s2.0-84934924539
OpenAlex: W2244088820
Citing:
DB Citing
Scopus 3
OpenAlex 3
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