Generalized permutation matrix: Difference between revisions

Revision as of 05:37, 8 September 2009

Revision as of 20:24, 4 October 2009

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==Applications==

Monomial matrices occur in [[representation theory]] in the context of [[monomial representationsrepresentation]]s. A monomial representation of a group ''G'' is a linear representation ''ρ'' : ''G'' → GL(''n'', ''F'' ) of ''G'' (here ''F'' is the defining field of the representation) such that the image ''ρ''(''G'' ) is a subgroup of the group of monomial matrices.

[[Category:Matrices]]