We show that the Brauer group BM(k, H_v, R_{s,beta}) of the quasitriangular Hopf algebra (H_v, R_{s,beta}) is a direct product of the additive group of the field k and the classical Brauer group B_{\theta_s}(k, Z_{2v}) associated to the bicharacter theta_s on Z_{2v}, defined by theta_s(x, y) = omega^(swy), with omega a 2vth root of unity.
The Brauer group of some quasitriangular Hopf algebras
CARNOVALE, GIOVANNA;
2003
Abstract
We show that the Brauer group BM(k, H_v, R_{s,beta}) of the quasitriangular Hopf algebra (H_v, R_{s,beta}) is a direct product of the additive group of the field k and the classical Brauer group B_{\theta_s}(k, Z_{2v}) associated to the bicharacter theta_s on Z_{2v}, defined by theta_s(x, y) = omega^(swy), with omega a 2vth root of unity.File in questo prodotto:
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