The Hyperbolic Formal Affine Demazure Algebra
| dc.contributor.author | Leclerc, Marc-Antoine | |
| dc.contributor.supervisor | Neher, Erhard | |
| dc.contributor.supervisor | Zaynullin, Kirill | |
| dc.date.accessioned | 2016-09-22T15:12:16Z | |
| dc.date.available | 2016-09-22T15:12:16Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this thesis, we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malagón-López, Savage and Zainoulline in two directions. First, we introduce and study the notion of formal Demazure lattices of a Kac-Moody root system and show that the definitions and properties of the formal (affine) Demazure operators and algebras hold for such lattices. Second, we show that for the hyperbolic formal group law the formal Demazure algebra is isomorphic (after extending the coefficients) to the Hecke algebra. | en |
| dc.identifier.uri | http://hdl.handle.net/10393/35218 | |
| dc.identifier.uri | http://dx.doi.org/10.20381/ruor-176 | |
| dc.language.iso | en | en |
| dc.publisher | Université d'Ottawa / University of Ottawa | en |
| dc.subject | Kac-Moody algebra | en |
| dc.subject | Hecke algebra | en |
| dc.subject | Formal group law | en |
| dc.title | The Hyperbolic Formal Affine Demazure Algebra | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Sciences / Science | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | PhD | en |
| uottawa.department | Mathématiques et statistique / Mathematics and Statistics | en |
