Faithful representations of infinite-dimensional nilpotent Lie algebras
Representation Theory
2013-10-22 v2 Functional Analysis
Abstract
For locally convex, nilpotent Lie algebras we construct faithful representations by nilpotent operators on a suitable locally convex space. In the special case of nilpotent Banach-Lie algebras we get norm continuous representations by bounded operators on Banach spaces.
Keywords
Cite
@article{arxiv.1108.5563,
title = {Faithful representations of infinite-dimensional nilpotent Lie algebras},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:1108.5563},
year = {2013}
}
Comments
9 pages; accepted for publication in Forum Mathematicum