Bracket ideals and Hilbert polynomial of filiform Lie algebras

F. J. Castro-Jiménez, M. Ceballos

For a complex finite-dimensional filiform Lie algebra $\mathfrak{g}$, we first study the bifiltration given by the bracket ideals $[C^k\mathfrak{g},C^{\ell }\mathfrak{g}]$ and then the b…