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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.
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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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

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