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A1/A2

A complete description of all cases for A1 and A2 is given in [MartinWoodcock] (see the article also for the basic A3 picture - in Figure 2).

B3

tilting module tilting module












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G2

First some assorted non-generic patterns: tilting module tilting module tilting module tilting module














...and here are most of the generic patterns for G2, captured from the G2.2 schema (see [MartinWestbury08] for the complete description of parabolic Kazhdan-Lusztig polynomials in these cases, if you do not want to read them off from the output of "tilt" yourself!):

tilting module tilting module tilting module tilting module tilting module tilting module tilting module tilting module tilting module tilting module




















[MartinWestbury08] P Martin and B Westbury, Parabolic Kazhdan-Lusztig polynomials and representation theory for G2, in preparation.