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Stratified fibre bundles and symplectic reduction on coadjoint orbits of su(n).

Plummer, Michael. (2008) Stratified fibre bundles and symplectic reduction on coadjoint orbits of su(n). Doctoral thesis, University of Surrey (United Kingdom)..

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Abstract

The problem of classifying the reduced phase spaces of the natural torus action on a generic coadjoint orbit of SU(n) is considered. The concept of a stratified fibre bundle is defined. It is proved that the orbit map of an equivariant fibre bundle is a stratified fibre bundle. This result is then used to give an iterative description of the reduced phase spaces of the torus action on a generic coadjoint orbit of SU(n). The theory is illustrated with a detailed examination of the n = 3 case, that of the two torus action on a coadjoint orbit of SU(3).

Item Type: Thesis (Doctoral)
Divisions : Theses
Authors :
NameEmailORCID
Plummer, Michael.
Date : 2008
Contributors :
ContributionNameEmailORCID
http://www.loc.gov/loc.terms/relators/THS
Depositing User : EPrints Services
Date Deposited : 09 Nov 2017 12:10
Last Modified : 16 Mar 2018 20:23
URI: http://epubs.surrey.ac.uk/id/eprint/842671

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