Talk:Bruhat decomposition

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[edit] disjointness

Isn't the Bruhat decomposition disjoint?

Does anyone know when G/H has a section? —Preceding unsigned comment added by 129.11.62.100 (talk) 14:23, 16 April 2008 (UTC)

I added the disjoint comment. G/H should very rarely have a group section, but I think often has a sheaf section. Did you mean when does W=N/H have a section? I think this is more common to have a group section, but still not assured. Also it can depend on which of the groups with a (B,N) pair you mean (which of PSL, SL, GL, PGL for those of type A). JackSchmidt (talk) 15:17, 16 April 2008 (UTC)