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Axioms 2012, 1(3), 259-290; doi:10.3390/axioms1030259
Article

The Sum of a Finite Group of Weights of a Hopf Algebra

Received: 2 July 2012; in revised form: 17 September 2012 / Accepted: 17 September 2012 / Published: 5 October 2012
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations)
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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).
Keywords: Hopf algebra; weights; grouplike; skew-primitive Hopf algebra; weights; grouplike; skew-primitive
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Khare, A. The Sum of a Finite Group of Weights of a Hopf Algebra. Axioms 2012, 1, 259-290.

AMA Style

Khare A. The Sum of a Finite Group of Weights of a Hopf Algebra. Axioms. 2012; 1(3):259-290.

Chicago/Turabian Style

Khare, Apoorva. 2012. "The Sum of a Finite Group of Weights of a Hopf Algebra." Axioms 1, no. 3: 259-290.

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