Component Groups of Centralizers of Nilpotents in Complex Symmetric Space Donald R. King
نویسنده
چکیده
Let G be the adjoint group of a simple Lie algebra g, and let KC ! Aut(pC) be the complexi ed isotropy representation at the identity coset of the corresponding symmetric space. If e 2 pC is nilpotent, we consider the centralizer of e in KC. We show that the conjugacy classes of the component group of this centralizer can be described in terms generalizing the Bala-Carter classi cation of nilpotent orbits in the complexi cation of g.
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