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Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents

Representation Theory 2024-09-17 v1 Combinatorics

Abstract

This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwilliger algebra of the group association scheme, denoted T (G), is almost commutative. We also found the primitive idempotents for T (G) for three of the four types of such groups. In this paper, we determine the primitive idempotents for the fourth type.

Keywords

Cite

@article{arxiv.2409.09482,
  title  = {Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents},
  author = {Nicholas L. Bastian},
  journal= {arXiv preprint arXiv:2409.09482},
  year   = {2024}
}

Comments

Submitted to Discrete Mathematics Journal