Remarks on Springer’s representations

Lusztig, G.

doi:10.1090/S1088-4165-09-00358-6

Remarks on Springer’s representations
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by G. Lusztig

Represent. Theory 13 (2009), 391-400

DOI: https://doi.org/10.1090/S1088-4165-09-00358-6

Published electronically: September 3, 2009

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Abstract:

We give an explicit description of a set of irreducible representations of a Weyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group.

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