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Fermionic Novikov Algebras Admitting Invariant Non-Degenerate Symmetric Bilinear Forms.
- Source :
- Czechoslovak Mathematical Journal; 2020, Vol. 70 Issue 4, p953-958, 6p
- Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00114642
- Volume :
- 70
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Czechoslovak Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 147268067
- Full Text :
- https://doi.org/10.21136/CMJ.2020.0071-19