Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 4: 659 - 670

DOI: https://doi.org/10.1007/s11464-011-0106-0

RESEARCH ARTICLE

Generating index of finite-dimensional Lie algebras

  • Fang FANG ,
  • Fuhai ZHU
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  • School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

Received date: 28 Dec 2009

Accepted date: 23 Dec 2010

Published date: 01 Aug 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Generating index; eigenvalue number; nil-index

Cite this article

Fang FANG , Fuhai ZHU . Generating index of finite-dimensional Lie algebras[J]. Frontiers of Mathematics in China, 2011 , 6(4) : 659 -670 . DOI: 10.1007/s11464-011-0106-0

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