The adjoint homology of the free 2-step nilpotent lie algebra

Leandro Cagliero; Paulo Tirao

doi:10.1093/qjmath/53.2.125

The adjoint homology of the free 2-step nilpotent lie algebra

Leandro Cagliero^*, Paulo Tirao

^*Corresponding author for this work

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

5 Scopus citations

Abstract

In this paper we determine the homology of the free 2-step nilpotent complex Lie algebra, with adjoint coefficients, as a module over the general linear group. This module is not multiplicity free. We give an explicit formula for the multiplicities and we compute the total dimension.

Original language	English
Pages (from-to)	125-145
Number of pages	21
Journal	Quarterly Journal of Mathematics
Volume	53
Issue number	2
DOIs	https://doi.org/10.1093/qjmath/53.2.125
State	Published - Jun 2002
Externally published	Yes

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10.1093/qjmath/53.2.125

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title = "The adjoint homology of the free 2-step nilpotent lie algebra",

abstract = "In this paper we determine the homology of the free 2-step nilpotent complex Lie algebra, with adjoint coefficients, as a module over the general linear group. This module is not multiplicity free. We give an explicit formula for the multiplicities and we compute the total dimension.",

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JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

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The adjoint homology of the free 2-step nilpotent lie algebra

Abstract

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