On the Classification of Solvable Lie Algebras of Finite Dimension Containing an Abelian Ideal of Codimension One

Description

<p>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.</p>

Links & Downloads

1. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-1188
2. Local 2082/1567

Tags

Classification

Lie Algebras

Additional Fields

Identifer	oai:union.ndltd.org:UPSALLA/oai:DiVA.org:hh-1188
Date	January 2008
Creators	Kobel, Conrad
Publisher	Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), Högskolan i Halmstad/Sektionen för Informationsvetenskap, Data- och Elektroteknik (IDE)
Source Sets	DiVA Archive at Upsalla University
Language	English
Detected Language	English
Type	Student thesis, text