Temperley-Lieb algebra approach to Catalan states of generalized crossing and lattice crossing (Q2805392)
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scientific article; zbMATH DE number 6579303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Temperley-Lieb algebra approach to Catalan states of generalized crossing and lattice crossing |
scientific article; zbMATH DE number 6579303 |
Statements
11 May 2016
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knot
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link
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Kauffman bracket
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Catalan state
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Dyck path
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Temperley-Lieb algebra
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Temperley-Lieb algebra approach to Catalan states of generalized crossing and lattice crossing (English)
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In this paper the author describes certain elements of the Temperley-Lieb algebra which can be obtained as Kauffman states of lattice crossings and generalized lattice crossings. In particular, it is shown that all Catalan states can be obtained in this way. The paper also gives an algorithm for finding elements which can be obtained in this way and presents some results about coefficients of the Catalan states which can be obtained as Kauffman states of \(m\times 2\) lattice crossings.
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