Return to search

Geometric Realizations of the Basic Representation of the Affine General Linear Lie Algebra

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.

Identiferoai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/32866
Date January 2015
CreatorsLemay, Joel
ContributorsSavage, Alistair
PublisherUniversité d'Ottawa / University of Ottawa
Source SetsUniversité d’Ottawa
LanguageEnglish
Detected LanguageEnglish
TypeThesis

Page generated in 0.0019 seconds