Complex specializations of the reduced Gassner representation of the pure braid group
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- by Mohammad N. Abdulrahim PDF
- Proc. Amer. Math. Soc. 125 (1997), 1617-1624 Request permission
Abstract:
We will give a necessary and sufficient condition for the specialization of the reduced Gassner representation $G_{n}(z): P_{n} \to GL_{n-1}(\mathbb {C})$ to be irreducible. It will be shown that for $z=(z_{1},\ldots ,z_{n})\in (\mathbb {C}^{*})^{n}$, $G_{n}(z)$ is irreducible if and only if $z_{1}\ldots z_{n} \neq 1$.References
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Additional Information
- Mohammad N. Abdulrahim
- Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
- Email: mna@math.psu.edu
- Received by editor(s): December 23, 1995
- Additional Notes: The results in this paper were written under the direction of Professor Edward Formanek whose help and encouragement are greatly appreciated.
- Communicated by: Ronald M. Solomon
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1617-1624
- MSC (1991): Primary 20F36
- DOI: https://doi.org/10.1090/S0002-9939-97-04081-1
- MathSciNet review: 1422839