Generating index of finite-dimensional Lie algebras

Fang FANG; Fuhai ZHU

doi:10.1007/s11464-011-0106-0

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (4) : 659-670. DOI: 10.1007/s11464-011-0106-0

RESEARCH ARTICLE

Generating index of finite-dimensional Lie algebras

Fang FANG ,
Fuhai ZHU

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Abstract

The notion of generating index of Lie algebras is introduced. We characterize some Lie algebras with full generating index and classify the Lie algebras with generating index 2 and 3. As a corollary, we give a characterization of 2-step nilpotent Lie algebras.

Keywords

Generating index / eigenvalue number / nil-index

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Fang FANG, Fuhai ZHU. Generating index of finite-dimensional Lie algebras. Front Math Chin, 2011, 6(4): 659‒670 https://doi.org/10.1007/s11464-011-0106-0

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