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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 838–851 (Mi smj2461)  
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
Full-text PDF (337 kB) Citations (2)
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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
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 666–678
DOI: https://doi.org/10.1134/S0037446613040083
Bibliographic databases:
Document Type: Article
UDC: 512.8
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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