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Hyperreflexivity of the derivation space of some group algebras

✍ Scribed by J. Alaminos; J. Extremera; A. R. Villena


Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
210 KB
Volume
266
Category
Article
ISSN
0025-5874

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We show that the Brauer group BM(k, H Ξ½ , R s,Ξ² ) of the quasitriangular Hopf algebra (H Ξ½ , R s,Ξ² ) is a direct product of the additive group of the field k and the classical Brauer group B ΞΈ s (k, Z 2Ξ½ ) associated to the bicharacter ΞΈ s on Z 2Ξ½ defined by ΞΈ s (x, y) = Ο‰ sxy , with Ο‰ a 2Ξ½th root o