Spin representations with negative indices

Al-Tahan, Madline; Abdulrahim, Mohammad N.; Habre, Samer S.

dc.contributor.author	Al-Tahan, Madline
dc.contributor.author	Abdulrahim, Mohammad N.
dc.contributor.author	Habre, Samer S.
dc.date.accessioned	2015-09-14T08:31:45Z
dc.date.available	2015-09-14T08:31:45Z
dc.date.copyright	2014
dc.date.issued	2014-12-22
dc.identifier.issn	0049-29-30	en_US
dc.identifier.uri	http://hdl.handle.net/10725/2138
dc.description.abstract	We consider the spin representation of Artin's braid group, which has a negative index of one and was originally given by D. D. Long and explicitly computed by J.P.Tian. In our work, we find sufficient conditions under which the complex specialization of that representation, namely α: Bn→GLn2(C), is unitary relative to a nonsingular hermitian matrix.	en_US
dc.language.iso	en	en_US
dc.title	Spin representations with negative indices	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.author.school	SAS	en_US
dc.author.idnumber	199329050
dc.author.woa	N/A	en_US
dc.author.department	Computer Science And Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.relation.journal	Tamkang Journal of Mathematics	en_US
dc.journal.volume	45	en_US
dc.journal.issue	4	en_US
dc.article.pages	367-374	en_US
dc.keywords	Braid group	en_US
dc.keywords	Burau representation	en_US
dc.keywords	Unitary	en_US
dc.identifier.doi	http://dx.doi.org/10.5556/j.tkjm.45.2014.1457	en_US
dc.identifier.ctation	Al-Tahan, M., Abdulrahim, M. N., & Habre, S. S. (2014). Spin representations with negative indices. Tamkang Journal of Mathematics, 45(4), 367-374.	en_US
dc.author.email	shabre@lau.edu.lb
dc.identifier.url	https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1457
dc.orcid.id	https://orcid.org/0000-0002-7887-8767