Subset representations and eigenvalues of the universal intertwining matrix

Dirk Siersma; Wilberd van der Kallen

doi:10.1016/j.jpaa.2022.107024

Subset representations and eigenvalues of the universal intertwining matrix

Dirk Siersma
, Wilberd van der Kallen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.

Original language	English
Article number	107024
Pages (from-to)	1-6
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	8
DOIs	https://doi.org/10.1016/j.jpaa.2022.107024
Publication status	Published - Aug 2022

Bibliographical 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)

Funding

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.

Keywords

Gradient index
Intertwining
Johnson scheme
Specht module
Subset representation
Young's rule

Access to Document

10.1016/j.jpaa.2022.107024Licence: CC BY

1-s2.0-S0022404922000202-mainFinal published version, 401 KBLicence: CC BY

Cite this

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title = "Subset representations and eigenvalues of the universal intertwining matrix",

abstract = "We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.",

keywords = "Gradient index, Intertwining, Johnson scheme, Specht module, Subset representation, Young's rule",

author = "Dirk Siersma and \{van der Kallen\}, Wilberd",

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AB - We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.

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KW - Intertwining

KW - Johnson scheme

KW - Specht module

KW - Subset representation

KW - Young's rule

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ER -

Subset representations and eigenvalues of the universal intertwining matrix

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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