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arXiv · 1507.08361

The characteristic polynomial of an algebra and representations

Rajesh S. Kulkarni·Yusuf Mustopa·Ian Shipman
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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.

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Rajesh S. Kulkarni, Yusuf Mustopa, Ian Shipman. 2015-07-30. The characteristic polynomial of an algebra and representations. https://arxiv.org/abs/1507.08361

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