Quantum groups and subfactors of type B, C, and D
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
The Hecke Algebras of Type B and D and Subfactors
We define a nontrivial homomorphism from the Hecke algebra of type B onto a reduced algebra of the Hecke algebra of type A at roots of unity. We use this homomorphism to describe semisimple quotients of the Hecke algebra of type B at roots of unity. Using these quotients we determine subfactors obtained from the inclusion of Hecke algebra of type A into Hecke algebras of type B. We also study i...
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We associate Popa systems (= standard invariants of subfactors, cf. [P3],[P4]) to the finite dimensional representations of compact quantum groups. We characterise the systems arising in this way: these are the ones which can be “represented” on finite dimensional Hilbert spaces. This is proved by an universal construction. We explicitely compute (in terms of some free products) the operation o...
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Non-Commutative differential calculi on quantum groups were first studied by S. L. Woronowicz [W1], [W2]. His seminal paper [W2] provides a general framework for such calculi. Following the general ideas of A. Connes the basic objects in this approach are differential forms rather than vector fields. It seems that there is no functorial way to construct differential calculi for general quantum ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02097374