The Brauer group of some quasitriangular Hopf algebras

✍ Scribed by G. Carnovale; J. Cuadra

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 187 KB
• Volume: 259
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00563-x

✦ Synopsis

We show that the Brauer group BM(k, H ν , R s,β ) of the quasitriangular Hopf algebra (H ν , R s,β ) is a direct product of the additive group of the field k and the classical Brauer group B θ s (k, Z 2ν ) associated to the bicharacter θ s on Z 2ν defined by θ s (x, y) = ω sxy , with ω a 2νth root of unity.