dc.contributor.author |
Uchiyama, Tomohiro |
en |
dc.date.accessioned |
2017-06-07T03:02:58Z |
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dc.date.issued |
2015 |
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dc.identifier.citation |
Arxiv (1510.00997v1). 2015. 14 pages |
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dc.identifier.uri |
http://hdl.handle.net/2292/33317 |
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dc.description.abstract |
Let $G$ be a simple algebraic group of type $E_n (n=6,7,8)$ defined over an algebraically closed field $k$ of characteristic $2$. We present examples of triples of closed reductive groups $H<M<G$ such that $H$ is $G$-completely reducible, but not $M$-completely reducible. As an application, we consider a question of K\"ulshammer on representations of finite groups in reductive groups. We also consider a rationality problem for $G$-complete reducibility and a problem concerning conjugacy classes. |
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dc.relation.ispartof |
Arxiv |
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dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from https://arxiv.org/help/license |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
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dc.subject |
math.GR |
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dc.subject |
math.GR |
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dc.title |
Non-separability and complete reducibility: $E_n$ examples with an application to a question of Külshammer |
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dc.type |
Report |
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dc.description.version |
Preprint |
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pubs.author-url |
http://arxiv.org/abs/1510.00997v1 |
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dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
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pubs.subtype |
Working Paper |
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pubs.elements-id |
500657 |
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pubs.arxiv-id |
1510.00997 |
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pubs.number |
1510.00997v1 |
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pubs.record-created-at-source-date |
2016-07-25 |
en |