Unipotent/Stability computation at Thu Dec 4 12:51:33 2008 Unipotent representations for G=F4(nonsplit) G6v=G^v=F4 nonsplit (K=B4) Atlas version 0.3./Build date: Nov 19 2007 at 06:09:46. Special Special Orbit Cells Diagram #R A Dual Orbit Cells Diagram #R A^v 0 2 0000 1 1 F4 0 2222 1 1 Parameters: 14 14(14,110): 8 1 [ic,ic,ic,C-] 14 14 14 13 ( *, *) ( *, *) ( *, *) ( *, *) 4,3,2,1,3,2,3,4,3,2,1,3,2,3,4 Dual Parameters: 0 0(110,14): 6 6 [rn,rn,rn,C+] 0 0 0 1 ( *, *) ( *, *) ( *, *) ( *, *) 3,2,3,2,1,2,3,2,1 Dimension of space of stable characters: 0 Basis of stable characters as sums of irreducibles: Basis of stable characters as matrix of coefficients: ---------------------------------------------------------------------------- Special Special Orbit Cells Diagram #R A Dual Orbit Cells Diagram #R A^v A1~ 1 1000 2 2 F4(a1) 1 2022 1 2 Parameters: 11 11(11,176): 5 1 [C-,C+,C-,ic] 9 12 10 11 ( *, *) ( *, *) ( *, *) ( *, *) 1,3,2,3,4,3,2,1,3 Dual Parameters: 3 3(176,11): 9 6 [C+,C-,C+,rn] 5 2 4 3 ( *, *) ( *, *) ( *, *) ( *, *) 4,2,3,4,2,3,2,1,2,3,4,2,3,1,2 Everything is stable Dimension of space of stable characters: 1 ----------------------------------------------------------------------------