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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.