The spectrum of the Chern subring
Green, D.J. and Leary, I.J. (1996) The spectrum of the Chern subring. Commentarii Mathematici Helvetici, 73, (3), 406426. (doi:10.1007/s000140050062).
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Description/Abstract
For certain subrings of the modp 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 Fisomorphism for a compact Lie group G if and only if the following condition holds: For any homomorphism f between elementary abelian psubgroups 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.
Item Type:  Article  

Digital Object Identifier (DOI):  doi:10.1007/s000140050062  
Related URLs:  
Subjects:  Q Science > QA Mathematics  
Divisions:  University Structure  Pre August 2011 > School of Mathematics > Pure Mathematics 

ePrint ID:  29826  
Date : 


Date Deposited:  09 Jan 2007  
Last Modified:  31 Mar 2016 11:55  
URI:  http://eprints.soton.ac.uk/id/eprint/29826 
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