Combinatorics of the Springer correspondence for classical Lie algebras and their duals in characteristic 2

Abstract

We give a combinatorial description of the Springer correspondence for classical Lie algebras of type B, C or D and their duals in characteristic 2. The combinatorics used here is of the same kind as those appearing in the description of (generalized) Springer correspondence for unipotent case of classical groups by Lusztig in odd characteristic and by Lusztig and Spaltenstein in characteristic 2. © 2011 Elsevier Inc.