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Computing in Unipotent and Reductive Algebraic Groups

Published online by Cambridge University Press:  01 February 2010

Arjeh M. Cohen ,
Sergei Haller  and
Scott H. Murray
Arjeh M. Cohen
Affiliation:
Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, Netherlands, A.M.Cohen@tue.nl, http://www.win.tue.nl/~amc/
Sergei Haller
Affiliation:
btexx business technologies GmbH, Rheinstraβe 4N, 55116 Mainz, Germany, sergei@sergei-haller.de, http://www.sergei-haller.de
Scott H. Murray
Affiliation:
School of Mathematics and Statistics F07, Faculty of Science, University of Sydney, NSW 2006, Australia, murray@maths.usyd.edu.au, http://www.maths.usyd.edu.au/u/murray/

Abstract

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The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We concentrate particularly on maximal unipotent subgroups of split reductive groups and show how this improves computation in the reductive group itself.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 11 , 2008 , pp. 343 - 366
Copyright
Copyright © London Mathematical Society 2008

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