The characteristic polynomial of an algebra and representations
Rings and Algebras
2015-07-31 v1
Abstract
In this short note, we give a new sufficient condition for a linear map from a product of copies of a field to endomorphisms of a finite dimensional vector space over the same field to be an algebra homomorphism. We expect that this result can be applied to study representations of higher-degree Clifford algebras and finite extensions of commutative rings.
Keywords
Cite
@article{arxiv.1507.08361,
title = {The characteristic polynomial of an algebra and representations},
author = {Rajesh S. Kulkarni and Yusuf Mustopa and Ian Shipman},
journal= {arXiv preprint arXiv:1507.08361},
year = {2015}
}
Comments
7 pages