@article{c4eb59033b3340638baad58fc9f14987,
title = "Constructing Lie algebra homology classes",
abstract = "We construct homology classes for split metabelian Lie algebras. The Toral Rank Conjecture follows for this family. We exhibit the first nontrivial examples, of nongraded algebras in any dimension ≥10, for which the conjecture holds.",
author = "Hannes Pouseele and Paulo Tirao",
note = "Funding Information: We express our gratitude to Fritz Grunewald for his encouragement and many illuminating discussions we had on the topic of this work and the Mathematisches Institut of the Heinrich-Heine-Universit{\"a}t D{\"u}sseldorf for its support and hospitality. H. Pouseele was supported by the Fund for Scientific Research of Flanders. P. Tirao was supported by CON-ICET (Argentina) and his stay in D{\"u}sseldorf was made possible by a research grant of the Alexander von Humboldt Foundation.",
year = "2005",
month = oct,
day = "15",
doi = "10.1016/j.jalgebra.2005.01.016",
language = "英语",
volume = "292",
pages = "585--591",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "2",
}