On the dimensions of commutative subalgebras and subgroups.

DOI10.1007/s10958-008-0052-xzbMath1158.16013arXiv1408.1491OpenAlexW2088886141MaRDI QIDQ950836

Maria V. Milentyeva

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1491

zbMATH Keywords

Lie groupsLie algebrasassociative algebrascommutative subalgebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Structure theory for Lie algebras and superalgebras (17B05) Nilpotent and solvable Lie groups (22E25)

Related Items (3)

The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮ The maximal dimension of unital subalgebras of the matrix algebra ⋮ Algorithmic method to obtain abelian subalgebras and ideals in Lie algebras

Cites Work

• On the torsion-free ranks of finitely generated nilpotent groups and of their abelian subgroups
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