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- Title
Lie algebras of finite subalgebra rank.
- Authors
Evans, Martin J.; Riley, David M.
- Abstract
Let L be a Lie algebra over a field F of characteristic p≥ 0. If there exists a positive integer r such that every finitely generated subalgebra of L can be generated by r elements, then L is said to be of finite (subalgebra) rank, the minimal such r being the rank of L. Under certain restrictions on the base field F, we prove that every residually finite-dimensional Lie algebra of finite rank r has finite dimension bounded by an explicit function depending on r only.
- Publication
Archiv der Mathematik, 1997, Vol 69, Issue 3, p185
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s000130050108