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Irreducibility of the Tensor Product of Specializations of the Burau Representation of the Braid Groups
Joint Authors
Abdulrahim, Mohammad N.
Zeid, Wiaam M.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The reduced Burau representation is a one-parameter representation of Bn, the braid group on n strings.
Specializing the parameter to nonzero complex number x gives a representation βn(x): Bn→GL(ℂn−1), which is either irreducible or has an irreducible composition factor β^n(x): Bn→GL(ℂn−2).
In our paper, we let k≥2, and we determine a sufficient condition for the irreducibility of the tensor product of k irreducible Burau representations.
This is a generalization of our previous work concerning the cases k=2 and k=3.
American Psychological Association (APA)
Abdulrahim, Mohammad N.& Zeid, Wiaam M.. 2011. Irreducibility of the Tensor Product of Specializations of the Burau Representation of the Braid Groups. ISRN Algebra،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-446662
Modern Language Association (MLA)
Abdulrahim, Mohammad N.& Zeid, Wiaam M.. Irreducibility of the Tensor Product of Specializations of the Burau Representation of the Braid Groups. ISRN Algebra No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-446662
American Medical Association (AMA)
Abdulrahim, Mohammad N.& Zeid, Wiaam M.. Irreducibility of the Tensor Product of Specializations of the Burau Representation of the Braid Groups. ISRN Algebra. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-446662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446662