Affinor
From Encyclopedia of Mathematics
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An affine tensor of type 
. Specifying an affinor with components 
is equivalent to specifying an endomorphism of the vector space according to the rule 
. To the identity endomorphism there corresponds a unique affinor. The correspondence by which the matrix 
is assigned to each affinor realizes an isomorphism between the algebra of affinors and the algebra of matrices. An affinor is sometimes defined in the literature as a general (affine) tensor.
Comments
I.e. one is concerned here with the isomorphism 
of linear algebra.
How to Cite This Entry:
Affinor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Affinor&oldid=17931
Affinor. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Affinor&oldid=17931
This article was adapted from an original article by A.P. Shirokov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article