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Dijana Jakelic | University of Illinois at Chicago - Estados Unidos

Abstract

The goal of the present project is to further develop the representation theory of Kac-Moody Lie algebras, their hyperalgebras and quantization. The planned work consists of two subprojects - the first one concerns finite-dimensional representations of hyper and quantum affine (loop) algebras, while the second aims at obtaining geometric constructions of certain types of non-integrable representations (typically infinite-dimensional) providing the ground for developing a canonical bases theory for such representations. (AU)

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