Intersections of blocks of cyclotomic Hecke algebras
Abstract
Abstract Trinh and Xue have proposed a startling conjecture on intersections of blocks of cyclotomic Hecke algebras occurring in modular representation theory of finite reductive groups. We prove this conjecture for all exceptional type groups apart from a few situations in type $$E_8$$ E 8 . We also give a conceptual proof in all cases where relative Weyl groups are cyclic. Furthermore, we propose several generalisations, to Suzuki and Ree groups, to non-rational Coxeter groups and even more generally to spetsial complex reflection groups, and confirm these in various cases.
Fields of Study & Subjects
Advanced Topics in Algebra
Finite Group Theory Research
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Mathematische Zeitschrift
- Publisher
- Springer Science and Business Media LLC
- Volume
- 312
- Issue
- 4
- Publication date
- 7 March 2026
- Language
- EN