BiHom-Lie brackets and the Toda equation

Botong Gai, Chuanzhong Li, Jiacheng Sun +2

We introduce a BiHom-type skew-symmetric bracket on $\mathfrak{gl}(V)$ built from two commuting inner automorphisms $\alpha =A{d}_{\psi }$ and $\beta =A{d}_{\varphi }$ with $\psi ,\varphi \in \mathfrak{gl}(V)$ and integer…