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Representation Reguliere

Формат:      Страниц 80
     мягкая обложка
Frederic P.    
Книга по Требованию    
1395 руб
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En mathematiques et plus precisement en theorie des groupes, la representation reguliere est une representation d' un groupe fini. Soient G un groupe fini d' ordre g, K un corps, V un K espace vectoriel de dimension g et (es) une base de V indexee par G. Soit ? le morphisme de groupe de G dans le groupe lineaire GL(V), qui a un element u de G associe l' automorphisme ? u de V defini comme suit sur la base de V : l' image du vecteur es par ? u est egal au vecteur eu. s. Alors la representation (V, ? ) est appelee representation reguliere de G. Ce concept possede des proprietes importantes. High Quality Content by WIKIPEDIA articles! Par exemple, toute representation irreductible est isomorphe a une sous-representation de la representation reguliere.
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