THE BRAID SHELF

Patrick Dehornoy (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

The braids of $B_\infty$ can be equipped with a selfdistributive operation $\mathbin{\triangleright}$ enjoying a number of deep properties. This text is a survey of known properties and open questions involving this structure, its quotients, and its extensions.

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

Domaines: Théorie des groupes [math.GR]

Patrick Dehornoy. THE BRAID SHELF. 2018. ⟨hal-01649705v2⟩