Geometry & Cluster Algebras: Finite Type Classification & Double Bruhat Cells
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Description
In 2000, Fomin and Zelevinsky introduced a new language called cluster algebras for describing rings with certain combinatorial structures. Cluster algebras enjoy a variety of nice properties such as well-established collection of classification results and interesting geometric properties with the upper cluster algebra. We approach cluster algebras rst from the perspective of operations on quivers, then reacquaint ourselves with a more general definition. We then present the classification of...[Show more]
Collections | Open Access Theses |
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Date published: | 2016 |
Type: | Thesis (Honours) |
URI: | http://hdl.handle.net/1885/173669 |
DOI: | 10.25911/5d9efbd877646 |
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File | Description | Size | Format | Image |
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Victor_Zhenyi_Wang.pdf | 553.26 kB | Adobe PDF |
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