From families in Weyl groups to Springer representations

Abstract

Let G be a simple reductive group over the complex numbers. Let W be the Weyl group of G. We propose a description of the Springer representations of W associated to various unipotent classes of G by a purely algebraic method involving the families of various reflection subgroups of W and which is suitable to computer calculations.

11 pages

References in corpus (1)

• Induce/restrict matrices for exceptional Weyl groups

Cited by in corpus (1)

• Unipotent blocks and weighted affine Weyl groups