Group gradings on filiform Lie algebras

Abstract

We classify, up to isomorphism, gradings by abelian groups on nilpotent filiform Lie algebras of nonzero rank. In case of rank 0, we describe conditions to obtain non trivial ${\mathbb{Z}}_k$-gradings.

21 pages

Cited by in corpus (2)

• Cartan class of Invariant forms on Lie groups
• Gradings and Symmetries on Heisenberg type algebras