JournalsqtVol. 9, No. 4pp. 633–641

Irreducibility of quantum representations of mapping class groups with boundary

  • Thomas Koberda

    University of Virginia, Charlottesville, USA

  • Ramanujan Santharoubane

    University of Virginia, Charlottesville, USA
Irreducibility of quantum representations of mapping class groups with boundary cover
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Abstract

We prove that theWitten–Reshetikhin–Turaev SU(2) quantum representations of mapping class groups are always irreducible in the case of surfaces equipped with colored banded points, provided that at least one banded point is colored by 1. We thus generalize a well-known result due to J. Roberts.

Cite this article

Thomas Koberda, Ramanujan Santharoubane, Irreducibility of quantum representations of mapping class groups with boundary. Quantum Topol. 9 (2018), no. 4, pp. 633–641

DOI 10.4171/QT/116