The Endomorphism Algebra of a Vector Space

Jonathan S. Golan ()
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Jonathan S. Golan: University of Haifa, Dept. of Mathematics

Chapter 7 in The Linear Algebra a Beginning Graduate Student Ought to Know, 2012, pp 113-131 from Springer

Abstract: Abstract Endomorphisms and automorphisms of vector spaces and algebras over a field are introduced and the notion of the endomorphism algebra of a vector space is explored. The importance of idempotent elements of this algebra (namely, projections) is emphasized. The group of automorphisms is also considered. The notion of invariance of a subspace under an endomorphism is introduced.

Keywords: Endomorphism Algebra; Nontrivial Vector Space; Idempotent Element; Automorphism Type; Homomorphism Ep (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-007-2636-9_7

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DOI: 10.1007/978-94-007-2636-9_7

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