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The sum of a finite group of weights of a Hopf algebra

Apoorva Khare
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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).

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Apoorva Khare. 2007-01-17. The sum of a finite group of weights of a Hopf algebra. https://doi.org/10.3390/axioms1030259

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