JournalsqtVol. 5, No. 2pp. 225–258

Irreducible factors of modular representations of mapping class groups arising in Integral TQFT

  • Patrick M. Gilmer

    Louisiana State University, Baton Rouge, USA
  • Gregor Masbaum

    Université Paris 7, Denis Diderot, Paris, France
Irreducible factors of modular representations of mapping class groups arising in Integral TQFT cover
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Abstract

We find decomposition series of length at most two for modular representations in positive characteristic of mapping class groups of surfaces induced by an integral version of the Witten–Reshetikhin–Turaev SO(3)-TQFT at the pp-th root of unity, where pp is an odd prime. The dimensions of the irreducible factors are given by Verlinde-type formulas.

Cite this article

Patrick M. Gilmer, Gregor Masbaum, Irreducible factors of modular representations of mapping class groups arising in Integral TQFT. Quantum Topol. 5 (2014), no. 2, pp. 225–258

DOI 10.4171/QT/51