Generalized permutation matrix: Difference between revisions

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Revision as of 14:34, 17 April 2007

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==Applications==

Monomial matrices occur in [[representation theory]] in the context of [[monomial representations]]. A monomial representation of a group ''G'' is a linear representation <math>\''&rho\colon;'' : ''G'' \rightarrow&rarr; \mathrm{GL}(''n'', ''F''&thinsp;)</math> of ''G'' (here ''F'' is the defining field of the representation) such that the image <math> \''&rho;''(''G''&thinsp;) </math> is a subgroup of the group of monomial matrices.

[[Category:Matrices]]