The sum of a finite group of weights of a Hopf algebra
arXiv:math/0701467 · doi:10.3390/axioms1030259
Abstract
Motivated by the orthogonality relations for irreducible characters of a finite group, we evaluate the sum of a finite group of linear characters of a Hopf algebra, at all grouplike and skew-primitive elements. We then discuss results for products of skew-primitive elements. Examples include groups, (quantum groups over) Lie algebras, the small quantum groups of Lusztig, and their variations (by Andruskiewitsch and Schneider).
28 pages, LaTeX, final form (modulo table of contents and typesetting)