Multi-parameter Burau representations
We consider the multi-parameter representation of Artin’s braid group introduced by D. D. Long and J. P. Tian, namely α : Bn → GLm(C), where m = n!n . First, we show that there exists a complex specialization of the multi-parameter representation that does not arise from any Hecke algebra. Second, w...
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2013
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| Online Access: | http://hdl.handle.net/10725/2140 http://dx.doi.org/10.5556/j.tkjm.44.2013.1081 https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1081 |
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| _version_ | 1864513457426006016 |
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| author | Abdulrahim, Mohammad N. |
| author2 | Al- Tahan, Madline Habre, Samer S. |
| author2_role | author author |
| author_facet | Abdulrahim, Mohammad N. Al- Tahan, Madline Habre, Samer S. |
| author_role | author |
| dc.creator.none.fl_str_mv | Abdulrahim, Mohammad N. Al- Tahan, Madline Habre, Samer S. |
| dc.date.none.fl_str_mv | 2013 2013 2015-09-14T08:44:54Z 2015-09-14T08:44:54Z |
| dc.identifier.none.fl_str_mv | 0049-2930 http://hdl.handle.net/10725/2140 http://dx.doi.org/10.5556/j.tkjm.44.2013.1081 18. Abdulrahim, M. N., Al-Tahan, M., & Habre, S. S. (2013). Multi-parameter Burau representations. Tamkang Journal of Mathematics, 44(1), 91-98. https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1081 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Tamkang Journal of Mathematics |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Multi-parameter Burau representations |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We consider the multi-parameter representation of Artin’s braid group introduced by D. D. Long and J. P. Tian, namely α : Bn → GLm(C), where m = n!n . First, we show that there exists a complex specialization of the multi-parameter representation that does not arise from any Hecke algebra. Second, we find conditions under which the images of the generators of the braid group on three strings under the multi-parameter representation are unitary relative to a nonsingular hermitian matrix. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_a09f7eee1952f68cc4de8edff811e93e |
| identifier_str_mv | 0049-2930 18. Abdulrahim, M. N., Al-Tahan, M., & Habre, S. S. (2013). Multi-parameter Burau representations. Tamkang Journal of Mathematics, 44(1), 91-98. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2140 |
| publishDate | 2013 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
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| spelling | Multi-parameter Burau representationsAbdulrahim, Mohammad N.Al- Tahan, MadlineHabre, Samer S.We consider the multi-parameter representation of Artin’s braid group introduced by D. D. Long and J. P. Tian, namely α : Bn → GLm(C), where m = n!n . First, we show that there exists a complex specialization of the multi-parameter representation that does not arise from any Hecke algebra. Second, we find conditions under which the images of the generators of the braid group on three strings under the multi-parameter representation are unitary relative to a nonsingular hermitian matrix.PublishedN/A2015-09-14T08:44:54Z2015-09-14T08:44:54Z20132013Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0049-2930http://hdl.handle.net/10725/2140http://dx.doi.org/10.5556/j.tkjm.44.2013.108118. Abdulrahim, M. N., Al-Tahan, M., & Habre, S. S. (2013). Multi-parameter Burau representations. Tamkang Journal of Mathematics, 44(1), 91-98.https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1081enTamkang Journal of Mathematicsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/21402025-11-13T14:33:48Z |
| spellingShingle | Multi-parameter Burau representations Abdulrahim, Mohammad N. |
| status_str | publishedVersion |
| title | Multi-parameter Burau representations |
| title_full | Multi-parameter Burau representations |
| title_fullStr | Multi-parameter Burau representations |
| title_full_unstemmed | Multi-parameter Burau representations |
| title_short | Multi-parameter Burau representations |
| title_sort | Multi-parameter Burau representations |
| url | http://hdl.handle.net/10725/2140 http://dx.doi.org/10.5556/j.tkjm.44.2013.1081 https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1081 |