A brief introduction to face algebras (Q2708913)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A brief introduction to face algebras |
scientific article |
Statements
3 September 2001
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Yang-Baxter equation
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braid equation
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face algebras
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face models
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vertex models
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spin models
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comodules
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Tannaka duality
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tensor categories
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A brief introduction to face algebras (English)
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The paper is an introduction to the theory of face models and face algebras. Face models can be regarded as a generalization of the invertible solutions of the braid equation. A face algebra is an algebra equipped with a coalgebra structure, such that the two structures are compatible in some sense. Several equivalent definitions of face algebras are presented and some additional structures on face algebras are introduced: Hopf face algebras, coquasitriangular face algebras, coribbon Hopf face algebras. A generalization of the Tannaka-Krein duality is presented.NEWLINENEWLINEFor the entire collection see [Zbl 0955.00038].
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