A New Six Dimensional Representation of the Braid Group on Three Strands and its Irreducibility and Unitarizability

Al-Tahan, Madline A. and Abdulrahim, Mohammad N. (2013) A New Six Dimensional Representation of the Braid Group on Three Strands and its Irreducibility and Unitarizability. British Journal of Mathematics & Computer Science, 3 (3). pp. 275-280. ISSN 2231-0851

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Official URL: https://doi.org/10.9734/BJMCS/2013/3141

Abstract

We consider the braid group on three strands,B3and construct a complex valuedrepresentation of it with degree6, namely,ρ:B3→GL6(C). First, we show thatthis representation is irreducible and not equivalent to either Burau or Krammer’srepresentations. Second, we prove that the representation is unitary relative toan invertible hermitian matrix.

Item Type:	Article
Subjects:	Science Global Plos > Mathematical Science
Depositing User:	Unnamed user with email support@science.globalplos.com
Date Deposited:	30 Jun 2023 04:47
Last Modified:	08 Jan 2024 13:19
URI:	http://ebooks.manu2sent.com/id/eprint/1209

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