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UBC Theses and Dissertations
Generations and relations for rings of invariants Askarogullari, Murat Can
Abstract
In this thesis we first prove that the algebra of invariants for reductive groups over the base field complex numbers are finitely generated. Then we focus on invariant algebras of finite groups. After showing the natural relation between invariant algebras and reflections in the group we prove the Chevalley-Shephard-Todd theorem. We conclude with classification of complex finite reflection groups and some examples. Throughout the thesis we follow similar arguments as in Springer[8] and Kane[6] where we give full details on the arguments.
Item Metadata
| Title |
Generations and relations for rings of invariants
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2016
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| Description |
In this thesis we first prove that the algebra of invariants for reductive groups over the base field complex numbers are finitely generated. Then we focus on invariant algebras of finite groups. After showing the natural relation between invariant algebras and reflections in the group we prove the Chevalley-Shephard-Todd theorem. We conclude with classification of complex finite reflection groups and some examples. Throughout the thesis we follow similar arguments as in Springer[8] and Kane[6] where we give full details on the arguments.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2016-04-21
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0300150
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2016-05
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International