From families in Weyl groups to Springer representations
by George Lusztig  

Vol. 18 No. 1 (2023) P.1~P.14

DOI:	https://doi.org/10.21915/BIMAS.2023101
	10.21915/BIMAS.2023101

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.

KEYWORDS
Unipotent class, Springer representation, Weyl group

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES

Received: 2022-11-03
Revised :
Accepted:

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