English

Completable filiform Lie algebras

Rings and Algebras 2007-05-23 v1

Abstract

We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer nn there exists a solvable complete Lie algebras whose second cohomology group with values in the adjoint module has dimension at least nn.

Keywords

Cite

@article{arxiv.math/0202289,
  title  = {Completable filiform Lie algebras},
  author = {J. M. Ancochea and R. Campoamor},
  journal= {arXiv preprint arXiv:math/0202289},
  year   = {2007}
}

Comments

11 pages