Symmetry of symplectic derivation Lie algebras of free Lie algebras

Abstract

We show that a certain symmetry exists in the stable irreducible decomposition of the Lie algebra consisting of symplectic derivations of the free Lie algebra generated by the first homology group of compact oriented surfaces.

8 pages. Final version. To appear in RIMS Kôkyûroku Bessatsu

References in corpus (1)

• Hairy graphs and the unstable homology of Mod(g,s), Out(F_n) and Aut(F_n)

Cited by in corpus (1)

• Computations in formal symplectic geometry and characteristic classes of moduli spaces