On the dimensions of commutative subalgebras and subgroups
Rings and Algebras
2014-08-08 v1
Abstract
We consider the functions that bound the dimensions of finite-dimensional associative or Lie algebras in terms of the dimensions of their commutative subalgebras. It is proved that these functions have quadratic growth. As a result, we also get similar estimates for the dimension of a Lie group with bounded dimensions of its abelian Lie subgroups.
Cite
@article{arxiv.1408.1491,
title = {On the dimensions of commutative subalgebras and subgroups},
author = {Maria V. Milentyeva},
journal= {arXiv preprint arXiv:1408.1491},
year = {2014}
}
Comments
13 pages