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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Variationally complete representations are polar


Authors: Antonio J. Di Scala and Carlos Olmos
Journal: Proc. Amer. Math. Soc. 129 (2001), 3445-3446
MSC (1991): Primary 53C40; Secondary 53C35
Published electronically: May 30, 2001
MathSciNet review: 1845024
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Abstract:

A recent result of C. Gorodski and G. Thorbergsson, involving classification, asserts that a variationally complete representation is polar. The aim of this paper is to give a conceptual and very short proof of this fact, which is the converse of a result of Conlon.


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Additional Information

Antonio J. Di Scala
Affiliation: Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
Email: discala@mate.uncor.edu

Carlos Olmos
Affiliation: Department of Mathematics, Ciudad Universitaria, 5000 Córdoba, Argentina
Email: olmos@mate.uncor.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06226-8
PII: S 0002-9939(01)06226-8
Keywords: Variationally complete, polar representations, $s$-representations
Received by editor(s): November 9, 2000
Received by editor(s) in revised form: December 6, 2000
Published electronically: May 30, 2001
Additional Notes: This research was supported by Universidad Nacional de Córdoba, CONICET, CONICOR, Secyt-UNC, ANPCyT and CIEM
Communicated by: Wolfgang Ziller
Article copyright: © Copyright 2001 American Mathematical Society