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On the Classification of Solvable Lie Algebras of Finite Dimension Containing an Abelian Ideal of Codimension One
Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE).
2008 (English)Independent thesis Advanced level (degree of Master (One Year))Student thesis
Abstract [en]

In this work we investigate the structure of this type of Lie algebras over arbitrary fields F by constructing them from their Abelian ideal. To accomplish this, an algorithm is developed and as application a classification up to 7-dimensional Lie Algebras is given. We discuss a recent example of financial mathematics as well.

Place, publisher, year, edition, pages
Högskolan i Halmstad/Sektionen för Informationsvetenskap, Data- och Elektroteknik (IDE) , 2008.
Keywords [en]
Classification, Lie Algebras
Identifiers
URN: urn:nbn:se:hh:diva-1188Local ID: 2082/1567OAI: oai:DiVA.org:hh-1188DiVA, id: diva2:238406
Presentation
(English)
Uppsok
Physics, Chemistry, Mathematics
Available from: 2008-02-29 Created: 2008-02-29 Last updated: 2009-10-26

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fulltext(213 kB)330 downloads
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File name FULLTEXT01.pdfFile size 213 kBChecksum MD5
06fdde69abf872624bd0554a70f0e7b78921880795baae64d26812bc3d23c5522b67884cd39b4b9e55328b751ad1b3d0b393c7e0fb5addf94ad477a0ba027a7fd3a78fe5b5ba6eb32f9be086ed33d1d5
Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf