2024/12/05 by Serge Bouc, Bouc, Serge
Computer Science · Engineering · #16S50 #18B99 #20C20 #20J15 #Category Theory (math.CT) #Cellular Automata and Applications #Coding theory and cryptography #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2412.04221
openalex publication_date 2024/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let k be an algebraically closed field of positive characteristic p. We describe the full lattice of subfunctors of the diagonal p-permutation functor kRk obtained by k-linear extension from the functor Rk of linear representations over k. This leads to the description of the ``composition factors'' SP of kRk, which are parametrized by finite p-groups (up to isomorphism), and of the evaluations of these particular simple diagonal p-permutation functors over k.