Geodesic
Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 953-958.

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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.
DOI : 10.21136/CMJ.2020.0071-19
Classification : 17A30, 17B60, 17D25
Keywords: Novikov algebra; fermionic Novikov algebra; invariant bilinear form 
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     title = {Fermionic {Novikov} algebras admitting invariant non-degenerate symmetric bilinear forms},
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Chen, Zhiqi; Chen, Xueqing; Ding, Ming. Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 953-958. doi : 10.21136/CMJ.2020.0071-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0071-19/

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