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dc.contributor.authorSanti, Andrea
dc.contributor.authorCarnovale, Giovanna
dc.contributor.authorEsposito, Francesco
dc.date.accessioned2021-11-22T09:16:24Z
dc.date.available2021-11-22T09:16:24Z
dc.date.issued2021-10-23
dc.description.abstractV. L. Popov has recently introduced an analogue of Jordan classes (packets or decomposition classes) for the action of a θ-group (G0, V), showing that they are finitely-many, locally-closed, irreducible unions of G0-orbits of constant dimension partitioning V. We carry out a local study of their closures showing that Jordan classes are smooth and that their closure is a union of Jordan classes. We parametrize Jordan classes and G0-orbits in a given class in terms of the action of subgroups of Vinberg’s little Weyl group, and include several examples and counterexamples underlying the differences with the symmetric case and the critical issues arising in the θ-situation.en_US
dc.identifier.citationSanti A, Carnovale, Esposito F. On Jordan classes for Vinberg's theta-groups. Transformation Groups. 2021en_US
dc.identifier.cristinIDFRIDAID 1956815
dc.identifier.doi10.1007/s00031-021-09675-8
dc.identifier.issn1083-4362
dc.identifier.issn1531-586X
dc.identifier.urihttps://hdl.handle.net/10037/23099
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalTransformation Groups
dc.relation.projectIDEØS - Det europeiske økonomiske samarbeidsområde: 2019/34/H/ST1/00636en_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holder© Springer Science+Business Media New York (2021)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleOn Jordan classes for Vinberg's theta-groupsen_US
dc.type.versionacceptedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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