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Quantum Yang-Baxter module algebras (1994)

Caenepeel, S. ; Oystaeyen, F. ; Zhang, Y. H.

Springer

K-Theory 8 (1994), S. 231-255

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ISSN: 1573-0514

Keywords: Brauer group ; quantum group ; Hopf algebra ; Azumaya algebra ; quantum Yang-Baxter module

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract LetH be a quantum group over a commutative ringR. We introduce the concept of quantum Yang-BaxterH-module algebra, generalizing the notion ofH-dimodule algebra in the case whereH is commutative, cocommutative and faithfully projective. After discussing some examples, we introduceH-Azumaya algebras. The set of quivalence classes ofH-Azumaya algebras can be made into a group, called the Brauer group of the quantum groupH. This group is a generalization of the Brauer-Long group.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00960863

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