Unitarization of representations of a partially ordered set associated with a graph $\tilde{E}_6$

It is shown that any Schur representation of a poset associated with a graph $\tilde{E}_6$ can be unitarized with a certain character. The description of characters for which it is possible to unitarize the Schur representations of $\tilde{E}_6$ is presented.

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Bibliographic Details
Date:2009
Main Authors: Yakymenko, D. Yu., Якименко, Д. Ю.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3111
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal