Central filtrations of Lie algebras

Consider L to be a graded free Lie algebra over a principal ideal domain, and r a nonzero element of L such that its leading term s, i.e. its homogeneous component of highest order, is not a proper multiple. The main result we show in this thesis is that the graded ideal of leading terms of elements...

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Main Author:	Alajaji, Sami E. (Sami Emmanuel)
Other Authors:	Labute, John (advisor)
Format:	Others
Language:	en
Published:	McGill University 1995
Subjects:	Mathematics.
Online Access:	http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22714

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spelling	ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.227142014-02-13T04:00:15ZCentral filtrations of Lie algebrasAlajaji, Sami E. (Sami Emmanuel)Mathematics.Consider L to be a graded free Lie algebra over a principal ideal domain, and r a nonzero element of L such that its leading term s, i.e. its homogeneous component of highest order, is not a proper multiple. The main result we show in this thesis is that the graded ideal of leading terms of elements in R = (r) is equal to the ideal generated by the element s. As a consequence we prove that the center of L/R is trivial if the rank of the free Lie algebra L is greater than two.McGill UniversityLabute, John (advisor)1995Electronic Thesis or Dissertationapplication/pdfenalephsysno: 001447849proquestno: MM05526Theses scanned by UMI/ProQuest.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Master of Science (Department of Mathematics and Statistics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22714
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics.
spellingShingle	Mathematics. Alajaji, Sami E. (Sami Emmanuel) Central filtrations of Lie algebras
description	Consider L to be a graded free Lie algebra over a principal ideal domain, and r a nonzero element of L such that its leading term s, i.e. its homogeneous component of highest order, is not a proper multiple. The main result we show in this thesis is that the graded ideal of leading terms of elements in R = (r) is equal to the ideal generated by the element s. As a consequence we prove that the center of L/R is trivial if the rank of the free Lie algebra L is greater than two.
author2	Labute, John (advisor)
author_facet	Labute, John (advisor) Alajaji, Sami E. (Sami Emmanuel)
author	Alajaji, Sami E. (Sami Emmanuel)
author_sort	Alajaji, Sami E. (Sami Emmanuel)
title	Central filtrations of Lie algebras
title_short	Central filtrations of Lie algebras
title_full	Central filtrations of Lie algebras
title_fullStr	Central filtrations of Lie algebras
title_full_unstemmed	Central filtrations of Lie algebras
title_sort	central filtrations of lie algebras
publisher	McGill University
publishDate	1995
url	http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22714
work_keys_str_mv	AT alajajisamiesamiemmanuel centralfiltrationsofliealgebras
_version_	1716643106718220288

Central filtrations of Lie algebras

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