Fusions of tensor powers of Johnson schemes

Sean Eberhard; Mikhail  Muzychuk

doi:10.5802/alco.271

Fusions of tensor powers of Johnson schemes

Sean Eberhard, Mikhail Muzychuk

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Abstract

This paper is a follow-up to [5], in which the first author studied primitive association schemes lying between a tensor power Tdm of the trivial association scheme and the Hamming scheme H(d, m). A question which arose naturally in that study was whether all primitive fusions of Tdm lie between Td/em^e and H(d/e, m^e) for some e | d. This note answers this question positively provided that m is large enough. We similarly classify primitive fusions of the dth tensor power of a Johnson scheme on (mk) points when m is large enough in terms of k and d.

Original language	English
Pages (from-to)	533–538
Number of pages	7
Journal	Algebraic Combinatorics
Volume	6
Issue number	2
DOIs	https://doi.org/10.5802/alco.271
Publication status	Published - 03 May 2023
Externally published	Yes

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Fusions of tensor powers of Johnson schemes
Copyright 2023 The Authors. This is an open access article published under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
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Fusions of tensor powers of Johnson schemes

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