A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras

Huibin Chen; Shaoqiang Deng

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 1159-1168
  • ISSN: 0011-4642

Abstract

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We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a complete classification of them, among which there are some non-associative examples. This method leads to several new examples which have not been described in the literature.

How to cite

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Chen, Huibin, and Deng, Shaoqiang. "A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras." Czechoslovak Mathematical Journal 68.4 (2018): 1159-1168. <http://eudml.org/doc/294267>.

@article{Chen2018,
abstract = {We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a complete classification of them, among which there are some non-associative examples. This method leads to several new examples which have not been described in the literature.},
author = {Chen, Huibin, Deng, Shaoqiang},
journal = {Czechoslovak Mathematical Journal},
keywords = {left symmetric algebra; Novikov superalgebra; fermionic Novikov superalgebra},
language = {eng},
number = {4},
pages = {1159-1168},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras},
url = {http://eudml.org/doc/294267},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Chen, Huibin
AU - Deng, Shaoqiang
TI - A class of fermionic Novikov superalgebras which is a class of Novikov superalgebras
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 1159
EP - 1168
AB - We construct a special class of fermionic Novikov superalgebras from linear functions. We show that they are Novikov superalgebras. Then we give a complete classification of them, among which there are some non-associative examples. This method leads to several new examples which have not been described in the literature.
LA - eng
KW - left symmetric algebra; Novikov superalgebra; fermionic Novikov superalgebra
UR - http://eudml.org/doc/294267
ER -

References

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  3. Chen, Z., Ding, M., A class of Novikov superalgebras, J. Lie Theory 26 (2016), 227-234. (2016) Zbl06589553MR3391351
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  8. Gel'fand, I. M., Dorfman, I. Ya., 10.1007/BF01078363, Funct. Anal. Appl. 13 (1980), 248-262. English. Russian original translation from Funkts. Anal. Prilozh. 13 1980 13-30. (1980) Zbl0437.58009MR0554407DOI10.1007/BF01078363
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