A Product on Double Cosets of B∞
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.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2018 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209870 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862569668822171648 |
|---|---|
| author | Gonzalez Pagotto, P. |
| author_facet | Gonzalez Pagotto, P. |
| citation_txt | A Product on Double Cosets of B∞ / P. Gonzalez Pagotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-04T19:18:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209870 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-04T19:18:47Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gonzalez Pagotto, P. 2025-11-28T09:36:10Z 2018 A Product on Double Cosets of B∞ / P. Gonzalez Pagotto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20F36; 20M99; 20C99 arXiv: 1804.09603 https://nasplib.isofts.kiev.ua/handle/123456789/209870 https://doi.org/10.3842/SIGMA.2018.134 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. This research was supported by FAPESP process 2015/03341-9. We are indebted to L. Funar and A.K.M. Libardi for useful discussions and continuous support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Product on Double Cosets of B∞ Article published earlier |
| spellingShingle | A Product on Double Cosets of B∞ Gonzalez Pagotto, P. |
| title | A Product on Double Cosets of B∞ |
| title_full | A Product on Double Cosets of B∞ |
| title_fullStr | A Product on Double Cosets of B∞ |
| title_full_unstemmed | A Product on Double Cosets of B∞ |
| title_short | A Product on Double Cosets of B∞ |
| title_sort | product on double cosets of b∞ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209870 |
| work_keys_str_mv | AT gonzalezpagottop aproductondoublecosetsofb AT gonzalezpagottop productondoublecosetsofb |