On the irreducibility of the extensions of Burau and Gassner representations

Mohamad N. Nasser, Mohammad N. Abdulrahim

We study the $n$th degree representations $\widehat{{\rho }_G}$ of $C{b}_n$ and $\widehat{{\rho }_B}$ of $C_n$, defined by Valerij G. Bardakov, where $C{b}_n$ is the group of basis conjugating autom…