G-complete reducibility in non-connected groups

Michael Bate, Sebastian Herpel, Benjamin Martin, Gerhard Rohrle

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3 Citations (Scopus)
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Abstract

In this paper we present an algorithm for determining whether a subgroup H of a non-connected reductive group G is G-completely reducible. The algorithm consists of a series of reductions; at each step, we perform operations involving connected groups, such as checking whether a certain subgroup of G0 is G0-cr. This essentially reduces the problem of determining G-complete reducibility to the connected case.
Original languageEnglish
Pages (from-to)1085-1100
Number of pages16
JournalProceedings of the American Mathematical Society
Volume143
Issue number3
Early online date12 Nov 2014
DOIs
Publication statusPublished - Mar 2015

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Keywords

  • G -complete reducibility
  • non- connected reductive groups

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G-complete reducibility in non-connected groups. / Bate, Michael; Herpel, Sebastian; Martin, Benjamin; Rohrle, Gerhard.

In: Proceedings of the American Mathematical Society, Vol. 143, No. 3, 03.2015, p. 1085-1100.

Research output: Contribution to journalArticle

Bate, Michael ; Herpel, Sebastian ; Martin, Benjamin ; Rohrle, Gerhard. / G-complete reducibility in non-connected groups. In: Proceedings of the American Mathematical Society. 2015 ; Vol. 143, No. 3. pp. 1085-1100.
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