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

DOI10.1142/S0219498820500024zbMath1481.20013arXiv1808.05026OpenAlexW2886556013WikidataQ114614770 ScholiaQ114614770MaRDI QIDQ5107134

Sungsoon Kim, Dong-il Lee

Publication date: 23 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05026

zbMATH Keywords

Temperley-Lieb algebraGröbner-Shirshov basis

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Computational aspects of associative rings (general theory) (16Z05) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Unnamed Item
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• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS
• Standard monomials for the Weyl group F4
• Some combinatorial aspects of reduced words in finite Coxeter groups
• GRÖBNER—SHIRSHOV BASES AND NORMAL FORMS FOR THE COXETER GROUPS E₆ AND E₇
• Some Algorithmic Problems for Lie Algebras
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Structure of a Hecke algebra quotient

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