Constructing Lie algebra homology classes

Hannes Pouseele; Paulo Tirao

doi:10.1016/j.jalgebra.2005.01.016

Constructing Lie algebra homology classes

Hannes Pouseele, Paulo Tirao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	585-591
Number of pages	7
Journal	Journal of Algebra
Volume	292
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.01.016
State	Published - 15 Oct 2005
Externally published	Yes

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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",

year = "2005",

month = oct,

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doi = "10.1016/j.jalgebra.2005.01.016",

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volume = "292",

pages = "585--591",

journal = "Journal of Algebra",

issn = "0021-8693",

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AU - Pouseele, Hannes

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AB - 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.

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U2 - 10.1016/j.jalgebra.2005.01.016

DO - 10.1016/j.jalgebra.2005.01.016

M3 - 文章

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VL - 292

SP - 585

EP - 591

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -

Constructing Lie algebra homology classes

Abstract

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