The ring of equivariant vector bundles on finite sets
type: Item
instance of: scholarly article
title: The ring of equivariant vector bundles on finite sets
zbMATH Open document ID: 0834.20004
published in: Journal of Algebra
publication date: 1996-03-18T00:00:00Z
review text: For any finite group \(G\) the author defines \(G\)-vector bundles associated with a finite dimensional representation of \(G\) over a field of characteristic \(p\). The author defines a Grothendieck group of vector bundles arising this way and a ring structure is defined on the Grothendieck group. Elaborating in this setting, the author gives a simple proof for an explicit Conlon-induction formula as is given in a more general form by \textit{R. Boltje} [Astérisque 181-182, 31-59 (1990; Zbl 0718.20005)]. The author gives a further application to species as in [\textit{D. J. Benson} and \textit{R. A. Parker}, J. Algebra 87, 290-331 (1984; Zbl 0539.20009)].
reviewed by: Alexander Zimmermann
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 783922
zbMATH Keywords: finite groups
zbMATH Keywords: Grothendieck group of vector bundles
zbMATH Keywords: Conlon-induction formula
zbMATH Keywords: species
author: Sarah Witherspoon
MaRDI profile type: Publication
full work available at URL: jabr.1995.1186
OpenAlex ID: W2092586938
DOI: 10.1006/JABR.1995.1186
description: scientific article; zbMATH DE number 783922