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On the radical of Brauer algebras

✍ Scribed by Fabio Gavarini


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
402 KB
Volume
260
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