An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki

We construct an abelian quotient of the symplectic derivation Lie algebra ${\mathfrak{h}}_{g,1}$ of the free Lie algebra generated by the fundamental representation of $\mathrm{Sp}(2…