On some p-transitive association schemes

2020/08/30 by Jiang, Yu
#05E30 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2008.13203

Abstract

In this paper, for any prime p, we propose the notion of a p-transitive association scheme. This notion aims to generalize the fact that the regular module of a group algebra of a finite group has a unique trivial submodule to the case of the regular modules of modular adjacency algebras. We completely determine the p-transitive quasi-thin association schemes and the p-transitive association schemes with thin thin residue by their structure theory properties.

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