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dc.contributor.author
Dietrich, Heiko  
dc.contributor.author
Globke, Wolfgang  
dc.contributor.author
Origlia, Marcos Miguel  
dc.date.available
2023-07-11T11:52:17Z  
dc.date.issued
2022-08  
dc.identifier.citation
Dietrich, Heiko; Globke, Wolfgang; Origlia, Marcos Miguel; A note on étale representations from nilpotent orbits; Australian Mathematics Publ Assoc Inc; Bulletin Of The Australian Mathematical Society; 106; 1; 8-2022; 113-125  
dc.identifier.issn
0004-9727  
dc.identifier.uri
http://hdl.handle.net/11336/203134  
dc.description.abstract
A linear étale representation of a complex algebraic group G is given by a complex algebraic G-module V such that G has a Zariski-open orbit in V and. A current line of research investigates which reductive algebraic groups admit such étale representations, with a focus on understanding common features of étale representations. One source of new examples arises from the classification theory of nilpotent orbits in semisimple Lie algebras. We survey what is known about reductive algebraic groups with étale representations and then discuss two classical constructions for nilpotent orbit classifications due to Vinberg and to Bala and Carter. We determine which reductive groups and étale representations arise in these constructions and we work out in detail the relation between these two constructions.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Australian Mathematics Publ Assoc Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
MATHEMATICS  
dc.subject
20G05 17B10 22E46  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A note on étale representations from nilpotent orbits  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-07-05T15:08:05Z  
dc.journal.volume
106  
dc.journal.number
1  
dc.journal.pagination
113-125  
dc.journal.pais
Australia  
dc.description.fil
Fil: Dietrich, Heiko. Monash University; Australia  
dc.description.fil
Fil: Globke, Wolfgang. Universidad de Viena; Austria  
dc.description.fil
Fil: Origlia, Marcos Miguel. Monash University; Australia. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.journal.title
Bulletin Of The Australian Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0004972721001283  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/note-on-etale-representations-from-nilpotent-orbits/6F4AE084D3DC709D123480E3AAF1FAA2