Gaussian solutions to the Yang--Baxter equation and their twists

In this paper, we consider two explicit Gaussian solutions to the constant (or parameter-independent) quantum Yang–Baxter equation and produce the corresponding bialgebras using the Faddeev–Reshetikhin–Takhtajan construction (FRT). Additionally, we twist these two Gaussian solutions, via Zhang twists and corresponding 2-cocycle twists, to obtain solutions to the Yang–Baxter equation which are not necessarily Gaussian.