• Corpus ID: 9164275

Modelling Richardson Orbits for so N via ∆-filtered Modules

  title={Modelling Richardson Orbits for so N via ∆-filtered Modules},
  author={Karin Erdmann and Alison E. Parker},
We study the ∆-filtered modules for the Auslander algebra of k[T ]/T n ⋊ C2 where C2 is the cyclic group of order two. The motivation for this is the bijection between parabolic orbits in the nilradical of a parabolic subgroup of SLn and certain ∆-filtered modules for the Auslander algebra of k[T ]/T n as found by Hille and Röhrle and Brüstle et al., cf. [HR99] [BHRR99]. Under this bijection, the Richardson orbit (i.e. the dense orbit) corresponds to the ∆-filtered module without self… 
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