Local Quasitriangular Hopf Algebras

Details Local Quasitriangular Hopf Algebras Local Quasitriangular Hopf Algebras

2006-01-23

arxiv.org/abs/math/0601541v3

SIGMA 4 (2008), 042, 14 pages

Mathematics

Quantum Algebra

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.042

We find a new class of Hopf algebras, local quasitriangular Hopf algebras,
which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we
obtain solutions of the Yang-Baxter equation in a systematic way. The category
of modules with finite cycles over a local quasitriangular Hopf algebra is a
braided tensor category.

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