Abstract
We study certain Δ -filtered modules for the Auslander algebra of k [ T ] / T n ⋊ C 2 where C 2 is the cyclic group of order two. The motivation of this lies in the problem of describing the P -orbit structure for the action of a parabolic subgroup P of an orthogonal group. For any parabolic subgroup of an orthogonal group we construct a map from parabolic orbits to Δ -filtered modules and show that in the case of the Richardson orbit, the resulting module has no self-extensions.
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