| Title:
|
Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms (English) |
| Author:
|
Chen, Zhiqi |
| Author:
|
Chen, Xueqing |
| Author:
|
Ding, Ming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
953-958 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Novikov algebra |
| Keyword:
|
fermionic Novikov algebra |
| Keyword:
|
invariant bilinear form |
| MSC:
|
17A30 |
| MSC:
|
17B60 |
| MSC:
|
17D25 |
| idZBL:
|
07285972 |
| idMR:
|
MR4181789 |
| DOI:
|
10.21136/CMJ.2020.0071-19 |
| . |
| Date available:
|
2020-11-18T09:42:47Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148404 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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