Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Taniguchi Conference on Mathematics Nara '98, M. Maruyama and T. Sunada, eds. (Tokyo: Mathematical Society of Japan, 2001), 235 - 263
Operator Algebras, Topology and Subgroups of Quantum Symmetry – Construction of Subgroups of Quantum Groups –
In this article, we will discuss several interactions between the non commutative Galois problems, i.e., inclusions of operator algebras and topological quantum field theory in three dimensions. Those interactions are shown to be concretely solved and are related to both the quantum subgroups of the quantum group $SU(2)_N$ at the deformation parameter $q = \exp (2\pi i/N)$.
Received: 18 September 1999
First available in Project Euclid: 29 December 2018
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Ocneanu, Adrian. Operator Algebras, Topology and Subgroups of Quantum Symmetry – Construction of Subgroups of Quantum Groups –. Taniguchi Conference on Mathematics Nara '98, 235--263, Mathematical Society of Japan, Tokyo, Japan, 2001. doi:10.2969/aspm/03110235. https://projecteuclid.org/euclid.aspm/1546124590