A method of construction of finite-dimensional triangular semisimple Hopf algebras

Details A method of construction of finite-dimensional triangular semisimple Hopf algebras A method of construction of finite-dimensional triangular semisimple Hopf algebras

1998-06-12

arxiv.org/abs/math/9806072v1

Mathematics

Quantum Algebra

9 pages, amstex

Scientific paper

The goal of this paper is to give a new method of constructing finite-dimensional semisimple triangular Hopf algebras, including minimal ones which are non-trivial (i.e. not group algebras). The paper shows that such Hopf algebras are quite abundant. It also discovers an unexpected connection of such Hopf algebras with bijective 1-cocycles on finite groups and set-theoretical solutions of the quantum Yang-Baxter equation defined by Drinfeld.

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