Irreducibility of quantum representations of mapping class groups with boundary

2017/01/31 by Koberda, Thomas, Santharoubane, Ramanujan · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1701.08901

Abstract

We prove that the Witten--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 one. We thus generalize a well--known result due to J. Roberts.

Cited by

• Rigidity of SU(2) and SO(3) quantum representations of mapping class groups at prime levels

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• Irreducibility of some quantum representations of mapping class groups
• On TQFT representations of mapping class groups with boundary
• Introduction to quantum representations of mapping class groups
• Rigidity of SU(2) and SO(3) quantum representations of mapping class groups at prime levels
• Reducibility of quantum representations of mapping class groups