Invariant functions on symplectic representations
نویسنده
چکیده
yψ ց m//G a/WV → t /WG where a ⊆ t is a subspace, WV ⊆ GL(a ) is a reflection group, and ψ is faithfully flat with irreducible generic fibers. Note that WV being a reflection group implies that a /WV is isomorphic to an affine space. The group WV is a very subtle invariant of V which plays a similar role as the Weyl group of the restricted root system for a symmetric space. The morphism ψ factors through the categorical quotient V//G, yielding a faithfully flat morphism
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