On the homology of free 2-step nilpotent lie algebras

Johannes Grassberger; Alastair King; Paulo Tirao

doi:10.1016/S0021-8693(02)00090-X

On the homology of free 2-step nilpotent lie algebras

Johannes Grassberger, Alastair King^*, Paulo Tirao

^*Corresponding author for this work

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

9 Scopus citations

Abstract

We find an explicit formula for the total dimension of the homology of a free 2-step nilpotent Lie algebra. We analyse the asymptotics of this formula and use it to find an improved lower bound on the total dimension of the homology of any 2-step nilpotent Lie algebra.

Original language	English
Article number	9243
Pages (from-to)	213-225
Number of pages	13
Journal	Journal of Algebra
Volume	254
Issue number	2
DOIs	https://doi.org/10.1016/S0021-8693(02)00090-X
State	Published - 2002
Externally published	Yes

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title = "On the homology of free 2-step nilpotent lie algebras",

abstract = "We find an explicit formula for the total dimension of the homology of a free 2-step nilpotent Lie algebra. We analyse the asymptotics of this formula and use it to find an improved lower bound on the total dimension of the homology of any 2-step nilpotent Lie algebra.",

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AB - We find an explicit formula for the total dimension of the homology of a free 2-step nilpotent Lie algebra. We analyse the asymptotics of this formula and use it to find an improved lower bound on the total dimension of the homology of any 2-step nilpotent Lie algebra.

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U2 - 10.1016/S0021-8693(02)00090-X

DO - 10.1016/S0021-8693(02)00090-X

M3 - 文章

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JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

M1 - 9243

ER -

On the homology of free 2-step nilpotent lie algebras

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