arXiv Open Access 2021

On The Faithfulness of the extension of Lawrence-Krammer representation of the group of conjugating automorphisms C_3

Mohamad N. Nasser Mohammad N. Abdulrahim

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Abstrak

Let $C_n$ be the group of conjugating automorphisms. We study the representation $ρ$ of $C_n$, an extension of Lawrence-Krammer representation of the braid group $B_n$, defined by Valerij G. Bardakov. As Bardakov proved that the representation $ρ$ is unfaithful for $n \geq 5$, the cases $n=3,4$ remain open. In our work, we make attempts towards the faithfulness of $ρ$ in the case $n=3$.

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math.RT

Penulis (2)

Mohamad N. Nasser

Mohammad N. Abdulrahim

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Nasser, M.N., Abdulrahim, M.N. (2021). On The Faithfulness of the extension of Lawrence-Krammer representation of the group of conjugating automorphisms C_3. https://arxiv.org/abs/2109.13501

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓