On the codimension of subalgebras of the algebra of matrices over a field

2015/08/04 by Giuseppe Zito, Zito, Giuseppe, G. Zito
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1508.02929

5 pages. Comments welcome

openalex publication_date 2015/08/04 · arxiv created 2015/09/29 · arxiv updated 2015/09/30 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper we provide an elementary and easy proof that a proper subalgebra of the matrix algebra \mathbbK^n,n , with n ≥3 and \mathbbK an arbitrary field, has dimension strictly less than n²-1.

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