Year: 2026
Type: article
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.
Source: Archiv der Mathematik
Author: Frank Lübeck
Institution: Westfälische Hochschule
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W7125787832
FWCI:
Cites:
Cited by:
Related to: