Nilpotent Lie and Leibniz Algebras

Chelsie Batten Ray; Alexander Combs; Nicole Gin; Allison Hedges; Hird; Laurie Zack

doi:10.1080/00927872.2012.717655

Nilpotent Lie and Leibniz Algebras

Chelsie Batten Ray
, Alexander Combs
, Nicole Gin
, Allison Hedges
, Hird
, Laurie Zack

Mathematics and Statistics

North Carolina State University
West Virginia University Institute of Technology
High Point University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further. © 2014 Copyright Taylor and Francis Group, LLC.

Original language	English
Pages (from-to)	2404-2410
Number of pages	7
Journal	Communications in Algebra
Volume	42
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2012.717655
State	Published - Jun 1 2014

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10.1080/00927872.2012.717655

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abstract = "We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further. {\textcopyright} 2014 Copyright Taylor and Francis Group, LLC.",

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AU - Hedges, Allison

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AU - Zack, Laurie

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Nilpotent Lie and Leibniz Algebras

Abstract

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