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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 4, Pages 759–773
(Mi smj1002)
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This article is cited in 6 scientific papers (total in 6 papers)
$n$-Lie structures that are generated by wronskians
A. S. Dzhumadil'daev Suleyman Demirel University
Abstract:
We study the $(k+1)$-Lie structures, $k$-left commutative and homotopy $(k+1)$-Lie structures with multiplication generated by Wronskians and prove that the nontrivial structures of $n$-Lie algebras appear only in the case of small characteristic.
Keywords:
$n$-Lie algebra, homotopy algebra, modular Lie algebras, Wronskian, Jacobian.
Received: 09.05.2004
Citation:
A. S. Dzhumadil'daev, “$n$-Lie structures that are generated by wronskians”, Sibirsk. Mat. Zh., 46:4 (2005), 759–773; Siberian Math. J., 46:4 (2005), 601–612
Linking options:
https://www.mathnet.ru/eng/smj1002 https://www.mathnet.ru/eng/smj/v46/i4/p759
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Abstract page: | 337 | Full-text PDF : | 117 | References: | 50 |
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