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The Sum of a Finite Group of Weights of a Hopf Algebra
Department of Mathematics and Department of Statistics, Stanford University, 390 Serra Mall, Stanford, CA 94305, USA
Received: 2 July 2012; in revised form: 17 September 2012 / Accepted: 17 September 2012 / Published: 5 October 2012
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).
Keywords: Hopf algebra; weights; grouplike; skew-primitive
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Khare, A. The Sum of a Finite Group of Weights of a Hopf Algebra. Axioms 2012, 1, 259-290.
Khare A. The Sum of a Finite Group of Weights of a Hopf Algebra. Axioms. 2012; 1(3):259-290.
Khare, Apoorva. 2012. "The Sum of a Finite Group of Weights of a Hopf Algebra." Axioms 1, no. 3: 259-290.