On Two Proofs for the Existence and Uniqueness of Integrals for Finite-Dimensional Hopf Algebras

Simple item page
dc.creatorKauffman, Louis H.
dc.creatorRadford, David E.
dc.date1999-11-11
dc.date.accessioned2026-07-07T05:31:34Z
dc.date.available2026-07-07T05:31:34Z
dc.descriptionThis paper has two purposes. The first is to explicate the diagrammatic approach to Hopf algebras due to Kuperberg, and to examine his proof of the existence and uniqueness of integrals in both the diagrammatic and purely algebraic contexts. The second purpose of the paper is to show that the theory of integrals for a finite dimensional Hopf algebra A can be deduced from ideas concerning the trace function on End(A). Connections between Kuperberg's work and the trace function should be of interest to those who study three manifold invariants in relation to Hopf algebras.
dc.description25 pages with diagrams. kauffman@uic.edu http://math.uic.edu/~kauffman, radford@uic.edu http://math.uic.edu/~radford
dc.identifierhttps://arxiv.org/abs/math/9911081
dc.identifierhttp://arxiv.org/abs/math/9911081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79389
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30;57M25
dc.titleOn Two Proofs for the Existence and Uniqueness of Integrals for Finite-Dimensional Hopf Algebras
dc.typetext

Files

Collections

arXiv