On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras (Q2708914)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras |
scientific article |
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15 October 2001
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integrals for Hopf algebras
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trace functions
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existence
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uniqueness
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finite-dimensional Hopf algebras
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0.9396553
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0.9208507
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0.9042173
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0.8930182
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0.89184374
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0.88477516
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On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras (English)
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The proof by Kuperberg for the existence and uniqueness of integrals for finite-dimensional Hopf algebras is based on a formalism relating Hopf algebras and complete invariants of 3-manifolds. The diagrammatic formalism in Kuperberg's proof is explained in more familiar algebraic terms, and it is shown that the theory of integrals for finite-dimensional Hopf algebras can be deduced from trace function calculations.NEWLINENEWLINEFor the entire collection see [Zbl 0955.00038].
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