On the homology of graded Lie algebras

Paulo Tirao

doi:10.1016/S0022-4049(00)00045-1

On the homology of graded Lie algebras

Paulo Tirao^*

^*Corresponding author for this work

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

3 Scopus citations

Abstract

We consider the homology of finite-dimensional-graded Lie algebras with coefficients in a finite-dimensional-graded module. By a combinatorial approach we give a lower bound for their total homology. Our result extends a result of Deninger and Singhof for the case of trivial coefficients. Applications for 2-step and free nilpotent Lie algebras are given.

Original language	English
Pages (from-to)	357-366
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	156
Issue number	2-3
DOIs	https://doi.org/10.1016/S0022-4049(00)00045-1
State	Published - 23 Feb 2001
Externally published	Yes

Keywords

17B56
17B70

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10.1016/S0022-4049(00)00045-1

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abstract = "We consider the homology of finite-dimensional-graded Lie algebras with coefficients in a finite-dimensional-graded module. By a combinatorial approach we give a lower bound for their total homology. Our result extends a result of Deninger and Singhof for the case of trivial coefficients. Applications for 2-step and free nilpotent Lie algebras are given.",

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AB - We consider the homology of finite-dimensional-graded Lie algebras with coefficients in a finite-dimensional-graded module. By a combinatorial approach we give a lower bound for their total homology. Our result extends a result of Deninger and Singhof for the case of trivial coefficients. Applications for 2-step and free nilpotent Lie algebras are given.

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KW - 17B70

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U2 - 10.1016/S0022-4049(00)00045-1

DO - 10.1016/S0022-4049(00)00045-1

M3 - 文章

AN - SCOPUS:0035937089

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VL - 156

SP - 357

EP - 366

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2-3

ER -

On the homology of graded Lie algebras

Abstract

Keywords

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