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Dissertation

Polynomial representations of GrT, simple polynomial modules and polynomial...

In this thesis, we use the general framework given by Doty to consider polynomial representations of $G_r T$ for $G$ either a reductive group or a Borel subgroup of such a group and view the category of polynomial $G_r T$-modules as a full subcategory of the category of $X(T)$-graded $G_r$-modules. It...