GOOD l-FILTRATIONS FOR q − GL3(k)
نویسنده
چکیده
Let k be an algebraically closed field of characteristic p, possibly zero, and G = qGL3(k), the quantum group of three by three matrices as defined by Dipper and Donkin. We may also take G to be GL3(k). We first determine the extensions between simple G-modules for both G and G1, the first Frobneius kernel of G. We then determine the submodule structure of certain induced modules, Ẑ(λ), for the infinitesimal group G1B. We induce this structure to G to obtain a good l-filtration of certain induced modules, ∇(λ), for G. We also determine the homomorphisms between induced modules for G.
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