The double algebraic view of finite quantum groupoids
Copyright policy )The double algebraic view of finite quantum groupoids
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.
48 pages, AMS-Latex
Frobenius extensions, comultiplications, Algebra and Number Theory, 16W30;81R50, antipodes, FOS: Physical sciences, Mathematical Physics (math-ph), integrals, Hopf algebras (associative rings and algebras), 81R50, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), weak Hopf algebras, double algebras, 16W30, Mathematical Physics
Frobenius extensions, comultiplications, Algebra and Number Theory, 16W30;81R50, antipodes, FOS: Physical sciences, Mathematical Physics (math-ph), integrals, Hopf algebras (associative rings and algebras), 81R50, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), weak Hopf algebras, double algebras, 16W30, Mathematical Physics
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