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Generating index of finite-dimensional Lie algebras

Frontiers of Mathematics in China, ISSN: 1673-3452, Vol: 6, Issue: 4, Page: 659-670
2011
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Article Description

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. © 2011 Higher Education Press and Springer-Verlag Berlin Heidelberg.

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