2010arXiv (Cornell University)Open access

From conjugacy classes in the Weyl group to unipotent classes

G. Lusztig

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Abstract

Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes of G.

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Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes of G.

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Available abstract

Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes of G.

Key concepts: Unipotent, Conjugacy class, Surjective function, Reductive group, Mathematics, Algebraic group, Weyl group, Group (periodic table)

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