Nilpotent Orbits, Normality, and Hamiltonian Group Actions
نویسندگان
چکیده
منابع مشابه
Nilpotent Orbits, Normality, and Hamiltonian Group Actions
Let M be a G-covering of a nilpotent orbit in 0 where G isa complex semisimple Lie group and g = Lie(G). We prove that under Poisson bracket the space R[2] of homogeneous functions on M of degree 2 is the unique maximal semisimple Lie subalgebra of R = R{M) containing g . The action of g' ~ R[2] exponentiates to an action of the corresponding Lie group G' on a G'-cover M' of a nilpotent orbit i...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1994
ISSN: 0894-0347
DOI: 10.2307/2152759