Underlying Lie algebras of quadratic Novikov algebras
Czechoslovak Mathematical Journal (2011)
- Volume: 61, Issue: 2, page 323-328
- ISSN: 0011-4642
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topChen, Zhiqi. "Underlying Lie algebras of quadratic Novikov algebras." Czechoslovak Mathematical Journal 61.2 (2011): 323-328. <http://eudml.org/doc/196874>.
@article{Chen2011,
abstract = {Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension $10$.},
author = {Chen, Zhiqi},
journal = {Czechoslovak Mathematical Journal},
keywords = {Novikov algebra; quadratic Novikov algebra; underlying Lie algebra; Novikov algebra; quadratic Novikov algebra; underlying Lie algebra},
language = {eng},
number = {2},
pages = {323-328},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Underlying Lie algebras of quadratic Novikov algebras},
url = {http://eudml.org/doc/196874},
volume = {61},
year = {2011},
}
TY - JOUR
AU - Chen, Zhiqi
TI - Underlying Lie algebras of quadratic Novikov algebras
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 323
EP - 328
AB - Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension $10$.
LA - eng
KW - Novikov algebra; quadratic Novikov algebra; underlying Lie algebra; Novikov algebra; quadratic Novikov algebra; underlying Lie algebra
UR - http://eudml.org/doc/196874
ER -
References
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