Representation theoretic interpretation of the Springer correspondence for dihedral groups
Representation Theory
2023-11-30 v1 Combinatorics
Abstract
The Lusztig-Shoji algorithm is generalized to a complex reflection group and give us a version of the Springer correspondence of . We show that the combinatorics of generalized Springer correspondences of dihedral groups of order exhibit the Brauer-Humphreys type reciprocity as in the case of Weyl groups for odd , and these constitute a major portion of the stratification of the natural module categories attached to them.
Keywords
Cite
@article{arxiv.2311.17274,
title = {Representation theoretic interpretation of the Springer correspondence for dihedral groups},
author = {Susumu Higuchi},
journal= {arXiv preprint arXiv:2311.17274},
year = {2023}
}