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Gröbner–Shirshov bases for Temperley–Lieb algebras of types $B$ $B$ and $D$ $D$

Sung Soon Kim

LAMFA CNRS UMR 7352, Université de Picardie JV-Mathématiques 80039 Amiens, France (membre ext. IMJ-PRG Univ. Paris 7)

E-mail Address: sungsoon.kim@u-picardie.fr

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and

Dong-il Lee

Department of Mathematics, Seoul Women’s University, Seoul 01797, Korea

E-mail Address: dilee@swu.ac.kr

Corresponding author.

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https://doi.org/10.1142/S0219498820500024Cited by:1 (Source: Crossref)

Abstract

For Temperley–Lieb algebras of types $B$ $B$ and $D$ $D$ , we construct their Gröbner-Shirshov bases and the corresponding standard monomials

Communicated by E. Zelmanov

Keywords:

AMSC: Primary: 20F55, Secondary: 05E15, Secondary: 16Z05

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