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On the Irreducibility of Linear Representations of the Pure Braid Group
並列摘要
Following up on our result in [1], we find a milder sufficient condition for the tensor product of specializations of the reduced Gassner representation of the pure braid group to be irreducible. We prove that G(subscript n)(x1,..., x(subscript n))⊗G(subscript n) (y1,...,y(subscript n)):P(subscript n)→GL(C(superscript n-1) ⊗ C(superscript n-1)) is irreducible if x(subscript i)≠±y(subscript i) and x(subscript j)≠±y(subscript j)^(-1) for some i and j.
並列關鍵字
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- Abdulrahim, M. N., & Kassem, N. H. (2007). The Interplay between Linear Representations of the Braid Group. International Journal of Mathematics and Mathematical Sciences, 2007(), 98-106. https://doi.org/10.1155/2007/16186
- Wang, C. J. (2011). On the Construction and Complexity of Bivariate Lattices [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2011.02720
- TSAO, H. S. J., & FANG, S. C. (1996). LINEAR PROGRAMMING WITH INEQUALITY CONSTRAINTS VIA ENTROPIC PERTURBATION. International Journal of Mathematics and Mathematical Sciences, 1996(), 177-184. https://doi.org/10.1155/S0161171296000257
- Abdesselam, B., & Chakrabarti, A. (2010). Unitary Braid Matrices: Bridge between Topological and Quantum Entanglements. Journal of Physical Mathematics, 2(), 1-14. https://www.airitilibrary.com/Article/Detail?DocID=20900899-201012-201101190013-201101190013-1-14
- Chen, X. (2013). On Some Properties for the Sequence of Brualdi-Li Matrices. Journal of Applied Mathematics, 2013(), 893-897-888. https://doi.org/10.1155/2013/985654