G-complete reducibility in non-connected groups

Michael Bate; Sebastian Herpel; Benjamin Martin; Gerhard Rohrle

doi:10.1090/S0002-9939-2014-12348-3

G-complete reducibility in non-connected groups

Michael Bate, Sebastian Herpel, Benjamin Martin, Gerhard Rohrle

Research output: Contribution to journal › Article

3 Citations (Scopus)

5 Downloads (Pure)

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 language	English
Pages (from-to)	1085-1100
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	3
Early online date	12 Nov 2014
DOIs	https://doi.org/10.1090/S0002-9939-2014-12348-3
Publication status	Published - Mar 2015

Keywords

G -complete reducibility
non- connected reductive groups

Access to Document

10.1090/S0002-9939-2014-12348-3Licence: Unspecified

Accepted Manuscript
©2014 American Mathematical Society. First published in Proceedings of the American Mathematical Society 143 (2015), 1085-1100, published by the American Mathematical Society.
Accepted author manuscript, 381 KBLicence: Other

http://www.ams.org/publications/ctp.pdf

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Cite this

Bate, M., Herpel, S., Martin, B., & Rohrle, G. (2015). G-complete reducibility in non-connected groups. Proceedings of the American Mathematical Society, 143(3), 1085-1100. https://doi.org/10.1090/S0002-9939-2014-12348-3

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