Generating index of finite-dimensional Lie algebras

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

References

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