Advanced Studies in Pure Mathematics

Operator Algebras, Topology and Subgroups of Quantum Symmetry – Construction of Subgroups of Quantum Groups –

Adrian Ocneanu

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Abstract

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 $q = \exp (2\pi i/N)$.

Article information

Source
Taniguchi Conference on Mathematics Nara '98, M. Maruyama and T. Sunada, eds. (Tokyo: Mathematical Society of Japan, 2001), 235-263

Dates
Received: 18 September 1999
First available in Project Euclid: 29 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1546124590

Digital Object Identifier
doi:10.2969/aspm/03110235

Mathematical Reviews number (MathSciNet)
MR1865095

Zentralblatt MATH identifier
1021.46053

Citation

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


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