Kac Algebras Arising from Composition of Subfactors: General Theory and Classification, Volume 750 (Google eBook)

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American Mathematical Soc., Jan 1, 2002 - Mathematics - 198 pages
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Contents

Introduction
1
Actions of matched pairs
5
Cocycles attached to the pentagon equation
21
Multiplicative unitary
31
Kac algebra structure
37
Grouplike elements
43
Examples of finitedimensional Kac algebras
49
Inclusions with the CoxeterDynkin graph D and the KacPaljutkin algebra
63
Structure theorems
71
Classification of certain Kac algebras
83
Classification of Kac algebras of dimension 16
107
Group extensions of general Kac algebras
123
2cocycles of Kac algebras
141
Classification of Kac algebras of dimension 24
159
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