A Product on Double Cosets of B ∞

Pablo Gonzalez Pagotto (1)

1 IF - Institut Fourier

For some infinite-dimensional groups G and suitable subgroups K there exists a monoid structure on the set K∖G/K of double cosets of G with respect to K. In this paper we show that the group B∞, of the braids with finitely many crossings on infinitely many strands, admits such a structure.

Domaines: Mathématiques [math]

Pablo Gonzalez Pagotto. A Product on Double Cosets of B ∞. Symmetry, Integrability and Geometry : Methods and Applications, 2018, 14, ⟨10.3842/sigma.2018.134⟩. ⟨hal-01990607⟩