РЕДУЦИРОВАННО ЛИЕВЫ ТЕРНАРНЫЕ АЛГЕБРЫ Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2014, Volume: 11, Pages: 508–516 Pages count : | ||||
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Abstract:
We introduce a notion of variety of RLT-algebras as a
variety of ternary anticommutative algebras such that the Jacobian
is skew-symmetric in all the arguments. The
algebras in this variety possess the property that their reduced algebra is
a Lie algebra. We show that this variety properly contains the variety of
Filippov algebras and coincides with the variety of Filippov algebras in
the presence of a non-degenerate (skew)symmetric anti-invariant form.
We also obtain some structure results on RLT-algebras.
Cite:
Пожидаев А.П.
РЕДУЦИРОВАННО ЛИЕВЫ ТЕРНАРНЫЕ АЛГЕБРЫ
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2014. Т.11. С.508–516. РИНЦ
РЕДУЦИРОВАННО ЛИЕВЫ ТЕРНАРНЫЕ АЛГЕБРЫ
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2014. Т.11. С.508–516. РИНЦ
Identifiers:
| Elibrary: | 22813561 |
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