Representations with the same degree
Abstract In this short note, we show that every connected semisimple simply-connected algebraic group of rank $$>1$$ > 1 over the complex numbers has infinitely many pairs of irreducible representations which are not related by an automorphism of the algebraic group and which have the same degree. This answers a question I was asked by J.P. Serre.
Authors
- Frank Lübeck (ORCID: https://orcid.org/0009-0001-5424-9237)
Institutions
- Westfälische Hochschule (DE)
Publication Details
- Journal
- Archiv der Mathematik
- Published
- 2026-10-16
- DOI
- https://doi.org/10.1007/s00013-026-02295-2
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- RWTH Aachen University