Unformatted text preview: im ι intersects any orbit and that elements ι ( p ) , ι ( p ′ ) are Gconjugate if and only if p and p ′ are S nconjugate. Problem 11.1. Show that the action of G on μ − 1 ( O ) is free. Exercise 11.4. 1 Prove that a Ginvariant ideal in S ( g ) is automatically Poisson. Also show that the converse is true provided G is connected. Exercise 11.5. Equip the algebra A/// I G with a natural Poisson bracket. 1 This exercise as well as the next one already appeared in PSet 10 1...
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 Fall '12
 IvanLosev
 Math, Algebra, Vector Space, Manifold, SYMPLECTIC REFLECTION ALGEBRAS

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