The Cartan matrix of a group algebra modulo any power of its radical
Author:
Abstract
We prove that the Cartan matrix of a group algebra F [ G ] F[G] modulo any power of its radical J J is dual symmetric, provided F F is a splitting field of F [ G ] / J F[G]/J . This eases the process of determining the Loewy series of the projective indecomposable F [ G ] F[G] -modules.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1983-088-02/S0002-9939-1983-0695241-2/S0002-9939-1983-0695241-2.pdf
Reference1 articles.
1. Pure and Applied Mathematics, Vol. XI;Curtis, Charles W.,1962
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