Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-26T04:15:16.435Z Has data issue: false hasContentIssue false
  • English
  • Français

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 (mbenders@hunter.cuny.edu)
G. Chen
Affiliation:
UFR de Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq, France (guoting.chen@math.univ-lille1.fr)
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 (rchurchi@hunter.cuny.edu)
Get access Rights & Permissions [Opens in a new window]

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 Lie algebras. 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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)