From families in Weyl groups to Springer representations
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Publication:6057135
DOI10.21915/BIMAS.2023101zbMATH Open1523.20080arXiv2006.16159MaRDI QIDQ6057135
Publication date: 4 October 2023
Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2006.16159
Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
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