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

RESEARCH ARTICLE

Generating index of finite-dimensional Lie algebras

Fang Fang¹ ,
Fuhai Zhu¹^,^b

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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. China, 2011, 6(4): 659‒670 https://doi.org/10.1007/s11464-011-0106-0

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References

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[1.]	Bai C. Left-symmetric algebras from linear functions. J Algebra, 2004, 28 2 651-665 CrossRef Google scholar

[2.]	Gauger M. A. On the classification of Metabelian Lie algebras. Trans A M S, 1973, 179, 293-329 CrossRef Google scholar

[3.]	Serre J. P. Algèbres de Lie Semi-simples Complexes, 1966, New York: W A Benjamin.

[4.]	Svinolupov S. I. On the analogues of the Burgers equation. Phys Lett A, 1989, 135, 32-36 CrossRef Google scholar

[5.]	Svinolupov S. I., Sokolov V. V. Vector-matrix generalizations of classical integrable equations. Theoret and Math Phys, 1994, 100, 959-962 CrossRef Google scholar