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https://dspace.ctu.edu.vn/jspui/handle/123456789/71626
Title: | Braid group action on projective quantum sl(2) modules |
Authors: | Karvounis, Konstantinos |
Keywords: | Braid group representations Quantum groups Projective modules Lawrence representations |
Issue Date: | 2021 |
Series/Report no.: | Acta Mathematica Vietnamica;Vol. 46_No. 02 .- P.399-440 |
Abstract: | We define a family of braid group representations via the action of the R-matrix (of the quasitriangular extension) of the restricted quantum s I (2) on a tensor power of a simple projective module. This family is an extension of the Lawrence representation specialized at roots of unity. Although the center of the braid group has finite order on the specialized Lawrence representations, this action is faithful for our extension. |
URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/71626 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
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_file_ Restricted Access | 4.65 MB | Adobe PDF | ||
Your IP: 18.225.55.42 |
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