Remarks on Springer's representations

2008/11/03 by G. Lusztig, Lusztig, G.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.0811.0370

10 pages

arxiv created 2008/11/25 · arxiv updated 2009/12/01

Abstract

We give an apriori description of a set of irreducible representations of a Weyl group which parametrize 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.

Related

• Springer's work on unipotent classes and Weyl group representations
• Families and Springer's correspondence
• From families in Weyl groups to Springer representations
• Unipotent Representations Attached to the Principal Nilpotent Orbit
• A note on étale representations from nilpotent orbits