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Title: Novikov superalgebras with $A_0=A_1A_1$ (English)
Author: Zhu, Fuhai
Author: Chen, Zhiqi
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 60
Issue: 4
Year: 2010
Pages: 903-907
Summary lang: English
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Category: math
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Summary: Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with $A_0=A_1A_1$ and $\dim A_1=2$ are of type $N$ and give a class of Novikov superalgebras of type $S$ with $A_0=A_1A_1$. (English)
Keyword: Novikov algebra
Keyword: Novikov superalgebra
Keyword: type $N$
Keyword: type $S$
MSC: 17A30
MSC: 17A70
idZBL: Zbl 1224.17010
idMR: MR2738955
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Date available: 2010-11-20T13:51:51Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/140792
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