Algebra Seminar

Janez Bernik, University of Ljubljana

"Quasi-filiform Lie algebras of maximum length revisited"

We revisit the problem of classification of quasi-filiform Lie algebras of maximum length. The lists found in the literature are either incomplete or non-explicit. En route we touch upon the classification of graded filiform Lie algebras generated by two elements of degree one and three, respectively, and, as a byproduct, obtain a classification of $\mathbb{N}$-graded infinite-dimensional Lie algebras with one-dimensional homogeneous components of coclass two in the spirit of Fialowski and Shalev-Zelmanov.

MC 5403