Dual pairs correspondences of \(E_{8,4}\) and \(E_{7,4}\)
type: Item
instance of: scholarly article
title: Dual pairs correspondences of \(E_{8,4}\) and \(E_{7,4}\)
zbMATH Open document ID: 0937.22009
DOI: 10.1007/BF02780175
published in: Israel Journal of Mathematics
publication date: 2000-01-17T00:00:00Z
review text: The author considers the subgroups \[ \begin{aligned}& \text{(a)}\qquad \text{Spin}(4,4)\times_{\mathbb{Z}_2\times\mathbb{Z}_2}\text{Spin}(8)\;\text{in} E_{8,4};\\ & \text{(b)}\quad F_{4,4}\times \text{SU}(2)\text{ and Spin}(4,4)\times \text{SU}(2)\times\text{SU}(2)\times \text{SU(2) in }E_{7,4}.\end{aligned} \] The study of the restriction of the minimal representations of \(E_{8,4}\) and \(E_{7,4}\) to the three subgroups described above leads the Howe correspondences of the subgroups.
reviewed by: L. Barchini
Mathematics Subject Classification ID: 22E47
Mathematics Subject Classification ID: 22E15
zbMATH DE Number: 1389706
zbMATH Keywords: minimal representations
zbMATH Keywords: Howe correspondences
author: Hung Yean Loke
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02780175
OpenAlex ID: W2035916962
description: scientific article; zbMATH DE number 1389706