The centralizer of an endomorphism over an arbitrary field

作者: David Mingueza , M. Eulàlia Montoro , Alicia Roca

DOI: 10.1016/J.LAA.2020.01.013

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摘要: Abstract The centralizer of an endomorphism a finite dimensional vector space is known when the nonderogatory or its minimal polynomial splits over field. It also for real Jordan canonical form. In this paper we characterize arbitrary field, and compute dimension. result obtained via generalized forms (for separable nonseparable polynomials). addition, obtain corresponding Weyr structure centralizers, which in turn allows us to determinant elements.

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