The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra

Abstract

For A a primitive 2N-root of unity with N odd, the Witten-Reshetikhin-Turaev topological quantum field theory provides a representation of the Kauffman skein algebra of a closed surface. We show that this representation is irreducible and we compute its classical shadow, in the sense of earlier work of the authors (arXiv:1206.1638).

14 pages. Version 2: Minor revisions prior to submission

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