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On irreducible representations of the free group

Volume 175 / 2024

Waldemar Hebisch 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.

Authors

  • Waldemar HebischMathematical Institute
    University of Wrocław
    50-384 Wrocław, Poland
    e-mail

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