Antispecial representations of Weyl groups
Abstract
Let W be a Weyl group. We define a class of irreducible representations of W that we call antispecial. They are in bijection with the constructible representations of W. We define an oriented graph structure on the set of antispecial representations or equivalently on the set of constructible representations of W. We describe explicitly the antispecial representations in each case. Section 2 has been modified.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint