Geometric Realizations of the Basic Representation of the Affine General Linear Lie Algebra
| dc.contributor.author | Lemay, Joel | |
| dc.contributor.supervisor | Savage, Alistair | |
| dc.date.accessioned | 2015-09-18T18:56:07Z | |
| dc.date.available | 2015-09-18T18:56:07Z | |
| dc.date.created | 2015 | |
| dc.date.issued | 2015 | |
| dc.degree.discipline | Sciences / Science | |
| dc.degree.level | doctorate | |
| dc.degree.name | PhD | |
| dc.description.abstract | The realizations of the basic representation of the affine general linear Lie algebra on (r x r) matrices are well-known to be parametrized by partitions of r and have an explicit description in terms of vertex operators on the bosonic/fermionic Fock space. In this thesis, we give a geometric interpretation of these realizations in terms of geometric operators acting on the equivariant cohomology of certain Nakajima quiver varieties. | |
| dc.faculty.department | Mathématiques et statistique / Mathematics and Statistics | |
| dc.identifier.uri | http://hdl.handle.net/10393/32866 | |
| dc.identifier.uri | http://dx.doi.org/10.20381/ruor-4140 | |
| dc.language.iso | en | |
| dc.publisher | Université d'Ottawa / University of Ottawa | |
| dc.subject | Lie Algebra | |
| dc.subject | Quiver Variety | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Equivariant Cohomology | |
| dc.subject | Geometric Invariant Theory | |
| dc.subject | Representation Theory | |
| dc.title | Geometric Realizations of the Basic Representation of the Affine General Linear Lie Algebra | |
| dc.type | Thesis | |
| thesis.degree.discipline | Sciences / Science | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | PhD | |
| uottawa.department | Mathématiques et statistique / Mathematics and Statistics |
