%0 Journal Article %T The Sum of a Finite Group of Weights of a Hopf Algebra %A Apoorva Khare %J Axioms %D 2012 %I MDPI AG %R 10.3390/axioms1030259 %X 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). %K Hopf algebra %K weights %K grouplike %K skew-primitive %U http://www.mdpi.com/2075-1680/1/3/259