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On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilisers. (arXiv:1508.02918v4 [math.RT] UPDATED)
来源于:arXiv
Let G be a simple simple-connected exceptional algebraic group of type G_2,
F_4, E_6 or E_7 over an algebraically closed field k of characteristic p>0 with
\g=Lie(G). For each nilpotent orbit G.e of \g, we list the Jordan blocks of the
action of e on the minimal induced module V_min of \g. We also establish when
the centralisers G_v of vectors v\in V_min and stabilisers \Stab_G<v> of
1-spaces <v>\subset V_min are smooth; that is, when \dim G_v=\dim\g_v or \dim
\Stab_G<v>=\dim\Stab_\g<v>. 查看全文>>