A Product on Double Cosets of B∞

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Gonzalez Pagotto, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209870
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Product on Double Cosets of B∞ / P. Gonzalez Pagotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 21 назв. — англ.

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 group B∞, of the braids with finitely many crossings on infinitely many strands, admits such a structure.