arXiv Analytics

Sign in

arXiv:1308.3632 [math.RT]AbstractReferencesReviewsResources

On Kirillov's lemma for nilpotent Lie algebras

Ingrid Beltita, Daniel Beltita

Published 2013-08-16, updated 2015-01-15Version 2

We establish a sharpening of Kirillov's lemma on nilpotent Lie algebras with 1-dimensional center and use it to study the structure of 3-step nilpotent Lie algebras.

Comments: 15 pages
Journal: Journal of Algebra 427 (2015), 85-103
Categories: math.RT
Subjects: 17B30, 22E25, 22E27
Related articles: Most relevant | Search more
arXiv:math/0409487 [math.RT] (Published 2004-09-24)
On some representations of nilpotent Lie algebras and superalgebras
arXiv:0801.3025 [math.RT] (Published 2008-01-19)
On index of certain nilpotent Lie algebras
arXiv:math/9803079 [math.RT] (Published 1998-03-18)
Diagrams of representations