Abstract

This chapter is devoted to applications of the results of the previous Chapter 8, where we investigated the general problem of relating the (left or right) cells of W and the (left or right) cells of all its standard parabolic subgroups. Thanks to parabolic subgroups of rank 2, we recall how Knuth relations are defined. We also explain how cellular maps can be used to construct an extension of Vogan’s generalized ?-invariant.

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