Duality in the Category of Andersen-Jantzen-Soergel

Friederike Steglich

Published 2015-10-29Version 1

In the early 1990's Andersen, Jantzen and Soergel introduced a category in order to give a combinatorial model for certain representations of quantum groups at a root of unity and simultaneously of Lie algebras of semisimple algebraic groups in positive characteristic. We will describe the behaviour of duality in this category.