Semisimple Lie algebras and root systems

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	van de Leur, J.W.
dc.contributor.author	Nielsen, J.K.R.
dc.date.accessioned	2018-10-05T17:02:41Z
dc.date.available	2018-10-05T17:02:41Z
dc.date.issued	2017
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/36077
dc.description.abstract	In this paper we introduce Lie algebras and list basic properties and results, including Weyl's theorem. We then introduce the important Lie algebra $\mathfrak{sl}(2)$, and move on to briefly introduce root systems. The main goal of the paper is to prove that semisimple Lie algebras are in one to one correspondance with chrystallographic root systems.
dc.description.sponsorship	Utrecht University
dc.format.extent	1666569
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Semisimple Lie algebras and root systems
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Lie algebra, root system
dc.subject.courseuu	Mathematical Sciences