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Tilting modules for quantum groups at roots of unity Andersen, Henning Haahr

Description

In this talk I will survey some of the basic properties of the category of finite dimensional tilting modules for the quantized enveloping algebra of a simple Lie algebra. At a generic parameter this category is semisimple and consists of all finite dimensional modules. But at roots of unity the category is non-semisimple and has a rich structure. We shall highlight some of its main properties and also point to several applications. At the end we shall discuss some recent developments and a couple of open questions.

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