The University of Southampton
University of Southampton Institutional Repository

The spectrum of the Chern subring

Record type: Article

For certain subrings of the mod-p cohomology ring of a compact Lie group, we give a description of the prime ideal spectrum, analogous to Quillen's description of the spectrum of the whole ring. Examples of such subrings include the Chern subring (the subring generated by Chern classes of all unitary representations), and for finite groups the subring generated by Chern classes of representations realizable over any specified field. As a corollary, we deduce that the inclusion of the Chern subring in the cohomology ring is an F-isomorphism for a compact Lie group G if and only if the following condition holds: For any homomorphism f between elementary abelian p-subgroups of G such that f(v) is always conjugate to v, there is an element g of G such that f is equal to conjugation by g.

Full text not available from this repository.

Citation

Green, D.J. and Leary, I.J. (1996) The spectrum of the Chern subring Commentarii Mathematici Helvetici, 73, (3), pp. 406-426. (doi:10.1007/s000140050062).

More information

Published date: 1996

Identifiers

Local EPrints ID: 29826
URI: http://eprints.soton.ac.uk/id/eprint/29826
ISSN: 0010-2571
PURE UUID: b73f465d-7ccb-4776-9ac2-beade6fc3294
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

Catalogue record

Date deposited: 09 Jan 2007
Last modified: 17 Jul 2017 15:56

Export record

Altmetrics

Contributors

Author: D.J. Green
Author: I.J. Leary ORCID iD

University divisions


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×