Novikov superalgebras with A 0 = A 1 A 1

Fuhai Zhu; Zhiqi Chen

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 903-907
  • ISSN: 0011-4642

Abstract

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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 1 A 1 and dim A 1 = 2 are of type N and give a class of Novikov superalgebras of type S with A 0 = A 1 A 1 .

How to cite

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Zhu, Fuhai, and Chen, Zhiqi. "Novikov superalgebras with $A_0=A_1A_1$." Czechoslovak Mathematical Journal 60.4 (2010): 903-907. <http://eudml.org/doc/196620>.

@article{Zhu2010,
abstract = {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 $A_0=A_1A_1$.},
author = {Zhu, Fuhai, Chen, Zhiqi},
journal = {Czechoslovak Mathematical Journal},
keywords = {Novikov algebra; Novikov superalgebra; type $N$; type $S$; Novikov algebra; Novikov superalgebra; type ; type },
language = {eng},
number = {4},
pages = {903-907},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Novikov superalgebras with $A_0=A_1A_1$},
url = {http://eudml.org/doc/196620},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Zhu, Fuhai
AU - Chen, Zhiqi
TI - Novikov superalgebras with $A_0=A_1A_1$
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 903
EP - 907
AB - 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 $A_0=A_1A_1$.
LA - eng
KW - Novikov algebra; Novikov superalgebra; type $N$; type $S$; Novikov algebra; Novikov superalgebra; type ; type
UR - http://eudml.org/doc/196620
ER -

References

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