INVESTIGADORES
TIRAO paulo Andres
artículos
Título:
Constructing Lie algebra homology classes.
Autor/es:
PAULO TIRAO; HANNES POUSEELE
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2005 vol. 292 p. 585 - 591
ISSN:
0021-8693
Resumen:
The toral rank conjecture asserts that $dim H_{*}(n)geq 2^{dim Z}$ for any finite dimensional nilpotent algebra $germ{n}$ with centre $Z$, where $H_{*}$ is the total cohomology space of the algebra. The paper under review proves that the toral rank conjecture holds for a 2-step nilpotent Lie algebra. The authors devote a section of the paper to the construction of nontrivial examples of non-naturally graded nilpotent lie algebras for which the conjecture is also valid. The examples are Lie algebras with an abelian ideal of codimension two.
