Multi-Parameter Bureau Representations

Habre, Samer S.

dc.creator	Habre, Samer S.	en_US
dc.date.accessioned	2015-09-14T08:44:54Z
dc.date.available	2015-09-14T08:44:54Z
dc.date.datecopyrighted	2013
dc.date.issued	2015-09-14
dc.identifier.issn	0049-2930	en_US
dc.identifier.uri	http://hdl.handle.net/10725/2140
dc.description.abstract	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.	en_US
dc.language.iso	en	en_US
dc.title	Multi-Parameter Bureau Representations	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.creator.school	SAS	en_US
dc.author.woa	N/A	en_US
dc.creator.department	Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.relation.ispartof	Tamkang journal of mathematics	en_US
dc.description.volume	44	en_US
dc.description.issue	1	en_US
dc.keywords	Braid group	en_US
dc.keywords	Burau representation	en_US
dc.keywords	Unitary	en_US
dc.identifier.doi	10.5556/j.tkjm.44.2013.1081	en_US
dc.identifier.ctation	Abdulrahim, M., Tahan, M., & Habre, S. (2013). Multi-parameter Burau representations. Tamkang Journal Of Mathematics, 44(1), 91-98. doi:10.5556/j.tkjm.44.2013.1081	en_US
dc.creator.email	shabre@lau.edu.lb
dc.identifier.url	http://journals.math.tku.edu.tw/index.php/TKJM/article/view/1081