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The set of conjugacy classes appearing in a product of conjugacy classes in a compact,
-connected Lie group can be identified with a convex polytope in the Weyl alcove.
In this paper we identify linear inequalities defining this polytope. Each inequality
corresponds to a non-vanishing Gromov-Witten invariant for a generalized flag variety
, where is the complexification of and is a maximal parabolic subgroup.
This generalizes the results for of Agnihotri and the second author and Belkale
on...
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