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Article Dans Une Revue ACM Communications in Computer Algebra Année : 2017

Standard monomials for temperley-lieb algebras

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Résumé

We deal with Temperley-Lieb algebras of type B, extending the result in [3, §6]. By completing the relations coming from a presentation of the Temperley-Lieb algebra, we find its Gröbner-Shirshov basis to obtain the corresponding set of standard monomials. The explicit multiplication table between the monomials follows naturally.

Dates et versions

hal-03882001 , version 1 (02-12-2022)

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Sungsoon Kim, Dong-Il Lee. Standard monomials for temperley-lieb algebras. ACM Communications in Computer Algebra, 2017, 50 (4), pp.179-181. ⟨10.1145/3055282.3055296⟩. ⟨hal-03882001⟩
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