Geodesic
The Representation Ring and the Centre of a Hopf Algebra
Canadian journal of mathematics, Tome 51 (1999) no. 4, pp. 881-896

Voir la notice de l'article provenant de la source Cambridge University Press

When $H$ is a finite dimensional, semisimple, almost cocommutative Hopf algebra, we examine a table of characters which extends the notion of the character table for a finite group. We obtain a formula for the structure constants of the representation ring in terms of values in the character table, and give the example of the quantum double of a finite group. We give a basis of the centre of $H$ which generalizes the conjugacy class sums of a finite group, and express the class equation of $H$ in terms of this basis. We show that the representation ring and the centre of $H$ are dual character algebras (or signed hypergroups).
DOI : 10.4153/CJM-1999-038-5
Mots-clés : 16W30, 20N20 
Witherspoon, Sarah J. The Representation Ring and the Centre of a Hopf Algebra. Canadian journal of mathematics, Tome 51 (1999) no. 4, pp. 881-896. doi: 10.4153/CJM-1999-038-5
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