Adjacency for special representations of a Weyl group
by George Lusztig  

Vol. 17 No. 2 (2022) P.125~P.141

DOI:	https://doi.org/10.21915/BIMAS.2022201
	10.21915/BIMAS.2022201

ABSTRACT

The set of special representations of a Weyl group has a natural graph structure: two special representations are joined by an edge if the corresponding special unipotent classes are consecutive for the partial order of special unipotent classes induced by the partial order on all unipotent classes. In this paper we prove a symmetry property of this graph.

KEYWORDS
Weyl groups, special representations, truncated induction

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES

Received: 2022-01-22
Revised :
Accepted:

Download Full Content