MAXIMAL SOLVABLE EXTENSION OF NATURALLY GRADED FILIFORM n-LIE ALGEBRAS

Abdurasulov K. K.; Gaybullaev R. K.; Omirov B. A.Khudoyberdiyev A. Kh

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MAXIMAL SOLVABLE EXTENSION OF NATURALLY GRADED FILIFORM n-LIE ALGEBRAS

机译：MAXIMAL SOLVABLE EXTENSION OF NATURALLY GRADED FILIFORM n-LIE ALGEBRAS

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摘要

We study naturally graded filiform n-Lie algebras. Among these algebras, we distinguish some algebra with the simplest structure that is an analog of the model filiform Lie algebra. We describe the derivations of the algebra and obtain the classification of solvable n-Lie algebras whose maximal hyponilpotent ideal coincides with the distinguished naturally graded filiform algebra. Furthermore, we show that these solvable n-Lie algebras possess outer derivations.

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来源
《Siberian Mathematical Journal》 |2022年第1期|1-18|共18页
作者
Abdurasulov K. K.; Gaybullaev R. K.; Omirov B. A.Khudoyberdiyev A. Kh;
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作者单位

Romanovskii Inst Math;

Natl Univ Uzbekistan;

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正文语种英语
中图分类数学;
关键词
n-Lie algebra; Filippov algebra; nilpotent n-algebra; hyponilpotent ideal of an n-algebra; solvable n-algebra; derivation; characteristic sequence; graded algebra;

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MAXIMAL SOLVABLE EXTENSION OF NATURALLY GRADED FILIFORM n-LIE ALGEBRAS

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