Fixed point spaces in actions of exceptional algebraic groups.

Lawther, Ross and Liebeck, Martin W. and Seitz, Gary M. (2002) Fixed point spaces in actions of exceptional algebraic groups. Pacific Journal of Mathematics, 205 (2). pp. 339-391. ISSN 0030-8730

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Abstract

Let G be a simple algebraic group of exceptional type acting transitively on an algebraic variety. We provide estimates for the dimensions of the subvarieties of fixed points of elements of G. These translate into estimates for the dimensions of intersections of conjugacy classes of G with closed subgroups.

Item Type:

Journal Article

Journal or Publication Title:

Pacific Journal of Mathematics

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? general mathematicsmathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

19278

Deposited By:

ep_ss_importer

Deposited On:

19 Nov 2008 16:51

Refereed?:

Yes

Published?:

Published

Last Modified:

16 Jul 2024 08:17

URI:

https://eprints.lancs.ac.uk/id/eprint/19278