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Algebraic Aspects of Commutation of Linear Operators up to a Factor
Bellonotto, B.
Teppati, Giancarlo
2006
Abstract
When representing projective geometry by means of a
vector space, commutativity can be replaced by commutativity up
to a factor. This feature was investigated by F. Cecioni under
very weak assumptions, but it is hard to generalize the methods
of [4] to a wider algebraic context. In this note, we develop the
independent treatment of H. Weyl, and extend the approach of to non-commutative rings under suitable assumptions on the
endomorphisms. From this point of view, we show that commutativity of operators up to a non-trivial factor is an exceptional
phenomenon in comparison to strict commutativity.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
38 (2006)
Publisher
EUT Edizioni Università di Trieste
Source
B. Bellonotto, G. Teppati, "Algebraic Aspects of Commutation of Linear Operators up to a Factor", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 38 (2006), pp. 109-124.
Languages
en
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