On the Structure of Endsk(2,5)(Ω5k) and Enduk(2,5)(Ω5k)

Abstract:

By using the fact that tensor space Ω5k can be written as a direct sum of tilting modules for the quantum enveloping algebra (qSchur algebra) of glk(2) and the structure of tilting modules for n=2, we will determine the dimension, a set of generators and the decomposition of principal modules of Endsk(2,5)(Ω5k) and Enduk(2,5)(Ω5k), when Ω5k is considered as a module of the infinitesimal qSchur algebra and the little qSchur algebra.