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Authors
Affiliations
1 Department of Mathematics and Computer Science, Beirut Arab University, P.O. Box 11-5020, Beirut, LB
Source
The Journal of the Indian Mathematical Society, Vol 90, No 3-4 (2023), Pagination: 309–328
Abstract
Let Cn be the group of conjugating automorphisms. We study the representation ρ of Cn, an extension of Lawrence-Krammer representation of the braid group Bn. It is known that the representation ρ is unfaithful for n ≥ 5, the cases n = 3, 4 remain open. In our work, we make attempts towards the faithfulness of ρ in the case n = 3.
Keywords
Braid Group, Free Group, Lawrence–Krammer Representation, Burau Representation, Faithfulness.
References
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