# Difference between revisions of "Template:Character table facts to check against"

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− | {{quotation|'''FACTS TO CHECK AGAINST FOR CHARACTERS OF IRREDUCIBLE REPRESENTATIONS OVER SPLITTING FIELD''':<br>'''Orthogonality relations''': [[Character orthogonality theorem]] <nowiki>|</nowiki> [[Column orthogonality theorem]] <nowiki>|</nowiki> [[Splitting implies characters span class functions]] <br>'''Separation results''' (basically says any two rows distinct, any two columns distinct): [[splitting implies character-separating]] <nowiki>|</nowiki> [[non-modular implies character-determining]]}} | + | {{quotation|'''FACTS TO CHECK AGAINST FOR CHARACTERS OF IRREDUCIBLE REPRESENTATIONS OVER SPLITTING FIELD''':<br>'''Orthogonality relations''': [[Character orthogonality theorem]] <nowiki>|</nowiki> [[Column orthogonality theorem]] <nowiki>|</nowiki> [[Splitting implies characters span class functions]] <br>'''Separation results''' (basically says any two rows distinct, any two columns distinct): [[splitting implies character-separating]] <nowiki>|</nowiki> [[non-modular implies character-determining]]<br>'''Miscellaneous facts''': [[Irreducible character of degree greater than one takes value zero on some conjugacy class]]}} |

## Revision as of 20:17, 7 April 2010

FACTS TO CHECK AGAINST FOR CHARACTERS OF IRREDUCIBLE REPRESENTATIONS OVER SPLITTING FIELD:Orthogonality relations: Character orthogonality theorem | Column orthogonality theorem | Splitting implies characters span class functionsSeparation results(basically says any two rows distinct, any two columns distinct): splitting implies character-separating | non-modular implies character-determiningMiscellaneous facts: Irreducible character of degree greater than one takes value zero on some conjugacy class