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dc.contributor.authorLawther, Ross
dc.contributor.authorGuralnick, Robert M
dc.date.accessioned2022-02-23T00:30:13Z
dc.date.available2022-02-23T00:30:13Z
dc.identifier.issn0065-9266
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/334343
dc.description.abstractIn this paper we treat faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties. By explicit calculation, we show that in each case, with essentially one exception, there is a dense open subset any point of which has stabilizer conjugate to a fixed subgroup, called the generic stabilizer. We provide tables listing generic stabilizers in the cases where they are non-trivial; in addition we decide whether or not there is a dense orbit, or a regular orbit for the action on the module.
dc.publisherAmerican Mathematical Society
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleGeneric stabilizers in actions of simple algebraic groups
dc.typeArticle
dc.publisher.departmentGirton College
dc.date.updated2022-02-21T11:33:49Z
prism.publicationNameMemoirs of the American Mathematical Society
dc.identifier.doi10.17863/CAM.81756
dcterms.dateAccepted2022-01-28
rioxxterms.versionAM
dc.contributor.orcidLawther, Ross [0000-0002-1484-5149]
rioxxterms.typeJournal Article/Review
cam.orpheus.counter27*
cam.depositDate2022-02-21
pubs.licence-identifierapollo-deposit-licence-2-1
pubs.licence-display-nameApollo Repository Deposit Licence Agreement
rioxxterms.freetoread.startdate2025-02-22


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Attribution-NonCommercial-NoDerivatives 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial-NoDerivatives 4.0 International