Subset representations and eigenvalues of the universal intertwining matrix

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Subset representations and eigenvalues of the universal intertwining matrix
 
Siersma, Dirk; van der Kallen, Wilberd
(2022) Journal of Pure and Applied Algebra, volume 226, issue 8, pp. 1 - 6
(Article)
Abstract
We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.
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Keywords: Gradient index, Intertwining, Johnson scheme, Specht module, Subset representation, Young's rule, Algebra and Number Theory
DOI: https://doi.org/10.1016/j.jpaa.2022.107024
ISSN: 0022-4049
Publisher: Elsevier
Note: Funding Information: We thank the referee of [6] for putting us on the right road. We thank Sam Mattheus for pointing out the work of Delsarte on Johnson schemes. We also thank the Mathematical Institute of Utrecht University for offering a workspace to us emeriti. This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Publisher Copyright: © 2022 The Author(s)
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