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The quasitriangular structures of biproduct Hopf algebras

✍ Scribed by Li-hui Zhao; Wen-zheng Zhao

Book ID
111840603
Publisher
SP Zhejiang University Press
Year
2007
Tongue
English
Weight
393 KB
Volume
8
Category
Article
ISSN
1009-3095

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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