On the Dimensions of Commutative Subalgebras and Subgroups of Nilpotent Algebras and Lie Groups of Class 2

DOI10.1080/00927870601141936zbMath1232.17021arXiv1408.2315OpenAlexW3098106704MaRDI QIDQ3446620

Maria V. Milentyeva

Publication date: 19 June 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2315

zbMATH Keywords

dimensioncommutative (Abelian) Lie subgroupscommutative (Abelian) subalgebrasnilpotent associative algebra of class 2nilpotent Lie algebra of class 2nilpotent Lie group of class 2

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (2)

The maximal abelian dimension of a Lie algebra, Rentschler's property and Milovanov's conjecture ⋮ Abelian subalgebras on Lie algebras

Cites Work

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