Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms

Zhiqi Chen; Xueqing Chen; Ming Ding

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 953-958
  • ISSN: 0011-4642

Abstract

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Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. Fermionic Novikov algebras correspond to a certain Hamiltonian superoperator in a supervariable. In this paper, we show that fermionic Novikov algebras equipped with invariant non-degenerate symmetric bilinear forms are Novikov algebras.

How to cite

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Chen, Zhiqi, Chen, Xueqing, and Ding, Ming. "Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms." Czechoslovak Mathematical Journal 70.4 (2020): 953-958. <http://eudml.org/doc/297156>.

@article{Chen2020,
abstract = {Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. Fermionic Novikov algebras correspond to a certain Hamiltonian superoperator in a supervariable. In this paper, we show that fermionic Novikov algebras equipped with invariant non-degenerate symmetric bilinear forms are Novikov algebras.},
author = {Chen, Zhiqi, Chen, Xueqing, Ding, Ming},
journal = {Czechoslovak Mathematical Journal},
keywords = {Novikov algebra; fermionic Novikov algebra; invariant bilinear form},
language = {eng},
number = {4},
pages = {953-958},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms},
url = {http://eudml.org/doc/297156},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Chen, Zhiqi
AU - Chen, Xueqing
AU - Ding, Ming
TI - Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 953
EP - 958
AB - Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. Fermionic Novikov algebras correspond to a certain Hamiltonian superoperator in a supervariable. In this paper, we show that fermionic Novikov algebras equipped with invariant non-degenerate symmetric bilinear forms are Novikov algebras.
LA - eng
KW - Novikov algebra; fermionic Novikov algebra; invariant bilinear form
UR - http://eudml.org/doc/297156
ER -

References

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