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Structure of quasitriangular quasi—hopf algebras

✍ Scribed by V. G. Drinfel'd


Publisher
Springer US
Year
1992
Tongue
English
Weight
257 KB
Volume
26
Category
Article
ISSN
0016-2663

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Let X s GM be a finite group factorisation. It is shown that the quantum Ž . ## Ž . double D H of the associated bicrossproduct Hopf algebra This provides a class of bicrossproduct Hopf algebras which are quasitriangular. We also construct a subgroup Y X associated to every order-reversing automo

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We show that the Brauer group BM(k, H ν , R s,β ) of the quasitriangular Hopf algebra (H ν , R s,β ) is a direct product of the additive group of the field k and the classical Brauer group B θ s (k, Z 2ν ) associated to the bicharacter θ s on Z 2ν defined by θ s (x, y) = ω sxy , with ω a 2νth root o