The Brauer group of some quasitriangular
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G. Carnovale; J. Cuadra
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Article
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2003
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Elsevier Science
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English
β 187 KB
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