Paper Abstract

Title

Good l-filtrations for q-GL_3(k)

Abstract

Let k be an algebraically closed field of characteristic p, possibly zero, and G=q-GL_3(k), the quantum group of three by three matrices as defined by Dipper and Donkin. We may also take G to be GL_3(k). We first determine the extensions between simple G-modules for both G and G_1, the first Frobneius kernel of G. We then determine the submodule structure of certain induced modules, \hat{Z}(\lambda), for the infinitesimal group G_1B. We induce this structure to G to obtain a good l-filtration of certain induced modules, \nabla(\lambda), for G. We also determine the homomorphisms between induced modules for G.

This page last modified by Alison Parker on Fri Apr 1 2005