From primitive spaces of bounded rank matrices to a generalized Gerstenhaber theorem
Rings and Algebras
2014-07-16 v3 Representation Theory
Abstract
A recent generalization of Gerstenhaber's theorem on spaces of nilpotent matrices is derived, under mild conditions on the cardinality of the underlying field, from Atkinson's structure theorem on primitive spaces of bounded rank matrices.
Keywords
Cite
@article{arxiv.1211.5118,
title = {From primitive spaces of bounded rank matrices to a generalized Gerstenhaber theorem},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1211.5118},
year = {2014}
}
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10 pages