A sum rule for scale factors in the Goldie rank polynomials (Addendum)
type: Item
instance of: scholarly article
title: A sum rule for scale factors in the Goldie rank polynomials (Addendum)
zbMATH Open document ID: 0699.17015
DOI: 10.1016/0021-8693(88)90023-3
author: Anthony Joseph
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: [For details and notations see the preceding review.] The author proves that if \({\mathcal D}{\mathcal C}\) is a double cell of the Weyl group W then for each \(\omega\in {\mathcal D}{\mathcal C}\) the Goldie rank ratio \(z_{\omega}\) divides the order of a finite group \(A_{{\mathcal D}{\mathcal C}}\) associated to \({\mathcal D}{\mathcal C}\).
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 17B25
zbMATH DE Number: 4146211
zbMATH Keywords: component group
zbMATH Keywords: nilpotent orbit
zbMATH Keywords: double cell
zbMATH Keywords: Weyl group
zbMATH Keywords: Goldie rank ratio
reviewed by: Yu. N. Maltsev
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90023-3
OpenAlex ID: W1964325590
cites work: Q3758092
cites work: A sum rule for scale factors in the Goldie rank polynomials
cites work: Q3804915
description: scientific article; zbMATH DE number 4146211