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Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups

Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups

1. Introduction.Let G be a connected reductive algebraic group over the complex number field C and T be its maximal torus.We denote the Lie algebras of G and T by g and t, respectively.Let O x be the G-orbit containing XBQ under the adjoint action of G on g.Then the …