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

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

2011-10-25

arxiv.org/abs/1110.5666v1

Mathematics

Geometric Topology

27 pages

Scientific paper

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 p-th root of unity, where p is an odd prime. The dimensions of the
irreducible factors are given by Verlinde-type formulas.

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