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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 838–851
(Mi smj2461)
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This article is cited in 2 scientific papers (total in 2 papers)
Local representations of braid groups
Yu. A. Mikhalchishinaab a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
We study the local linear representations of the braid group $B_3$ and the homogeneous local representations of $B_n$ for $n\ge2$. We investigate the connection of these representations with the Burau representation. The linear representations of $B_n$ are constructed from the Wada representation of $B_n$ in the automorphism group of a free group.
Keywords:
braid group, linear representation, Burau representation, Magnus representation, Fox derivative, Wada representation.
Received: 30.05.2012
Citation:
Yu. A. Mikhalchishina, “Local representations of braid groups”, Sibirsk. Mat. Zh., 54:4 (2013), 838–851; Siberian Math. J., 54:4 (2013), 666–678
Linking options:
https://www.mathnet.ru/eng/smj2461 https://www.mathnet.ru/eng/smj/v54/i4/p838
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Abstract page: | 258 | Full-text PDF : | 106 | References: | 60 | First page: | 2 |
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