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Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Pers

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The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. ).

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