On irreducible representations of the free group
Volume 175 / 2024
Colloquium Mathematicum 175 (2024), 237-243
MSC: Primary 22D10; Secondary 43A65, 22D25
DOI: 10.4064/cm9217-2-2024
Published online: 21 June 2024
Abstract
We prove that for a suitable class of representations of the free group, tensor products are generically irreducible. In particular, we prove that there exist irreducible boundary realizations with infinite-dimensional fiber.