Revision as of 14:57, 17 November 2020 edit 2001:67c:10ec:578f:8000::589 (talk) →Group structure: Notation of semidirect product corrected: The symmetric group acts on the group of diagonal matrices, not the other way around. ← Previous edit		Revision as of 23:14, 2 March 2021 edit undo Hellacioussatyr (talk \| contribs) Extended confirmed users 10,148 edits m →Monomial representations: {{nowrap}} Tag: 2017 wikitext editor Next edit →
Line 55: ===Monomial representations=== {{main\|Monomial representation}} Monomial matrices occur in [[representation theory]] in the context of [[monomial representation]]s. A monomial representation of a group ''G'' is a linear representation {{nowrap\|''~~ρ~~ρ'' : ''G'' → GL(''n'', ''F'')}} of ''G'' (here ''F'' is the defining field of the representation) such that the image ''~~ρ~~ρ''(''G'') is a subgroup of the group of monomial matrices. ==References==

Generalized permutation matrix: Difference between revisions