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Filtration-preserving mappings and centralizers within graded Lie algebras

Published online by Cambridge University Press:  21 September 2009

M. Bendersky ,
G. Chen  and
R. C. Churchill
M. Bendersky
Affiliation:
Department of Mathematics, Hunter College and the Graduate Center, City University of New York, 695 Park Avenue, New York, NY 10065, USA ([email protected])
G. Chen
Affiliation:
UFR de Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq, France ([email protected])
R. C. Churchill
Affiliation:
Department of Mathematics, Hunter College and the Graduate Center, City University of New York, 695 Park Avenue, New York, NY 10065, USA ([email protected])
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Abstract

We use spectral sequence techniques to compute centralizers of elements within graded Lie algebras, and the methods are then applied to the calculation of unique normal forms of elements within one-parameter matrix Liealgebras. A finiteness criterion for unique normal forms is presented.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 5 , October 2009 , pp. 961 - 996
Copyright
Copyright © Royal Society of Edinburgh 2009

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