Higher Bruhat orders and relations in the braid groups
type: Item
instance of: scholarly article
title: Higher Bruhat orders and relations in the braid groups
zbMATH Open document ID: 0988.20022
DOI: 10.1007/BF02674326
author: G. G. Il'yuta
published in: Mathematical Notes
publication date: 2002-06-17T00:00:00Z
review text: The author proves some relations in the symmetric group and in the braid group that generalize in some way the relation \(aba=bab\). The author connects this result with some questions in the theory of higher Bruhat orders and the theory of Young-Baxter equations.
reviewed by: Andrei M. Akimenkov
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 1517533
zbMATH Keywords: relations
zbMATH Keywords: symmetric groups
zbMATH Keywords: braid groups
zbMATH Keywords: higher Bruhat orders
zbMATH Keywords: Young-Baxter equations
MaRDI profile type: Publication
cites work: Q3972992
cites work: Balanced tableaux
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description: scientific article; zbMATH DE number 1517533