Representations with the same degree
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Archiv der Mathematik
- Publication date
- 16 October 2026
- Language
- EN