Representations of little<i>q</i>-Schur algebras

Abstract

In [18] and [24], little q-Schur algebras were introduced as homomorphic images of the infinitesimal quantum groups. In this paper, we will investigate representations of these algebras. We will classify simple modules for little q-Schur algebras and classify semisimple little q-Schur algebras. Moreover, through the classification of the blocks of little q-Schur algebras for n = 2, we will determine little q-Schur algebras of finite representation type in the odd roots of unity case.

Locations

• Pacific Journal of Mathematics - View - PDF
• arXiv (Cornell University) - View - PDF
• CiteSeer X (The Pennsylvania State University) - View - PDF