On intriguing sets of the Penttila-Williford association scheme

John Bamberg; Klaus Metsch

doi:10.1016/j.laa.2019.08.005

On intriguing sets of the Penttila-Williford association scheme

John Bamberg, Klaus Metsch

Mathematics and Statistics

Research output: Contribution to journal › Article

Abstract

We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.

Original language	English
Pages (from-to)	327-345
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	582
DOIs	https://doi.org/10.1016/j.laa.2019.08.005
Publication status	Published - 1 Dec 2019

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abstract = "We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.",

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KW - Elliptic quadric

KW - Intriguing set

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