INVESTIGADORES
CAGLIERO Leandro Roberto
artículos
Título:
The cohomology of filiform Lie algebras of maximal rank
Autor/es:
L. CAGLIERO,; P. TIRAO
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Lugar: Amsterdam; Año: 2014 vol. 445 p. 143 - 167
ISSN:
0024-3795
Resumen:
We describe the structure of the cohomology of the filiform Lie algebras $L_n$ and $Q_n$as a module over their (2-dimensional) torus of derivations.Our approach relies on the fact that both filiform algebras have an ideal $h$ of codimension 1 for which the structure of its cohomology under the action of the Levi factor of the algebra of derivations of $h$ is known.