THE BRAID SHELF

Patrick Dehornoy (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

The braids of B∞ can be equipped with a selfdistributive operation ⊲ enjoying a number of deep properties. This text is a survey of such properties and related open questions.

Mots clés: selfdistributivity; shelf; braid; special braid; symmetric group; Laver table; charged braid; parenthesied braid

Domaines: Théorie des groupes [math.GR]

Patrick Dehornoy. THE BRAID SHELF. 2017. ⟨hal-01649705v1⟩