A refinement of the toral rank conjecture for 2-step nilpotent lie algebras

Paulo Tirao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

It is known that the total (co)-homoloy of a 2-step nilpotcnt Lie algebra g is at least 2|j|, where j is the center of g. We improve this result by showing that a better lower bound is 2t, where t = |j| +: [|v|+1/2] and v is a complement of j in g. Furthermore, we provide evidence that this is the best possible bound of the form 2t.

Original languageEnglish
Pages (from-to)2875-2878
Number of pages4
JournalProceedings of the American Mathematical Society
Volume128
Issue number10
DOIs
StatePublished - 2000
Externally publishedYes

Keywords

  • 2-step nilpotent lie algebras
  • Homology of lie algebras
  • Toral rank conjecture

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