Krammer's Representation of the Pure Braid Group, P3
Joint Authors
Abdulrahim, Mohammad N.
al-Tahan, Madline
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider Krammer's representation of the pure braid group on three strings: P3→GL(3,Z[t±1,q±1]), where t and q are indeterminates.
As it was done in the case of the braid group, B3, we specialize the indeterminates t and q to nonzero complex numbers.
Then we present our main theorem that gives us a necessary and sufficient condition that guarantees the irreducibility of the complex specialization of Krammer's representation of the pure braid group, P3.
American Psychological Association (APA)
Abdulrahim, Mohammad N.& al-Tahan, Madline. 2010. Krammer's Representation of the Pure Braid Group, P3. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-499572
Modern Language Association (MLA)
Abdulrahim, Mohammad N.& al-Tahan, Madline. Krammer's Representation of the Pure Braid Group, P3. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-499572
American Medical Association (AMA)
Abdulrahim, Mohammad N.& al-Tahan, Madline. Krammer's Representation of the Pure Braid Group, P3. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-499572
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499572