A study of a simple p-permutation functor

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• 作者：Maxime Ducellier ^{maxime.ducellier@u-picardie.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16D20 ; 19A22 ; 18A25
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：447
• 期：Complete
• 页码：367-382
• 全文大小：330 K

文摘

In this article we are going to give a description of a simple p  -permutation functor S_1,C$S_{1,\mathbb{C}}$. We can prove the existence of an isomorphism between this functor and the functor which sends a group to the image of the Cartan homomorphism. This fact allows us to link the evaluation of S_1,C$S_{1,\mathbb{C}}$ with the image of the Cartan matrix of Comack_k(G)${\mathit{Comack}}_k(G)$, and gives us an explicit formula for the dimension of this evaluation.