Foncteurs de division et structure de I tenseur 2 tenseur Lambda n dans la catégorie F

2006/07/24 by Aurélien Djament, Djament, Aurélien
Mathematics · #16P60 #18A25 #20B30 #20C20 #Algebraic Topology (math.AT) #FOS: Mathematics #Representation Theory (math.RT) #math.AT #math.RT #msc:16P60 #msc:18A25 #msc:20B30 #msc:20C20

paper · pdf · doi:10.48550/arxiv.math/0607595

47 pages

arxiv created 2006/07/24 · arxiv updated 2016/08/16

Abstract

We prove that, in the category F of functors between F_2-vector spaces, the tensor product between the second non constant standard injective functor and an exterior power functor is artinian. The only cas known to date was the artinian character of this injective ; our result is a step in the study of the third non constant standard injective. We use the division functor by the identity functor and facts from modular representation theory of the symmetric groups to obtain this theorem by detecing suitable composition factors.

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