The double algebraic view of finite quantum groupoids

Details The double algebraic view of finite quantum groupoids The double algebraic view of finite quantum groupoids

2004-02-10

arxiv.org/abs/math/0402151v2

J. Algebra 280 (2004) 249-294

Mathematics

Quantum Algebra

48 pages, AMS-Latex

Scientific paper

This is an introduction to double algebras which is the structure modelled by the properties of the convolution product in Hopf algebras, weak Hopf algebras and in Hopf algebroids. We show that Hopf algebroids with a Frobenius integral can be characterized as the double algebras in which the two multiplications satisfy distributivity. We discuss questions of duality, antipode, Maschke theorem and examples.

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