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We find a connection between the character ofVnλ and the respective weight polytopes.
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We also compute the Euler characteristic of the space of partial flags containingnt and give a connection with hyperplane arrangements.
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Our proof uses the connection between this variety and the punctual Hilbert scheme of a smooth algebraic surface.
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We find all homogeneous symplectic varieties of connected semisimple Lie groups that admit an invariant linear connection.
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Vinberg, and we establish a connection with the wonderful completion of the associated adjoint symmetric variety due to C.
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