The adjoint homology of a family of 2-step nilradicals

María Alejandra Alvarez; Paulo Tirao

doi:10.1016/j.jalgebra.2011.11.020

The adjoint homology of a family of 2-step nilradicals

María Alejandra Alvarez, Paulo Tirao^*

^*Corresponding author for this work

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

4 Scopus citations

Abstract

We consider a family of parabolic subalgebras p of a simple Lie algebra of type A _n and give a full description of the adjoint homology of the nilradicals of p as a module over its Levi factor. All the nilradicals considered are 2-step nilpotent.

Original language	English
Pages (from-to)	268-289
Number of pages	22
Journal	Journal of Algebra
Volume	352
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.11.020
State	Published - 15 Feb 2012
Externally published	Yes

Keywords

Lie algebra homology
Nilradicals of parabolics

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10.1016/j.jalgebra.2011.11.020

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title = "The adjoint homology of a family of 2-step nilradicals",

abstract = "We consider a family of parabolic subalgebras p of a simple Lie algebra of type A n and give a full description of the adjoint homology of the nilradicals of p as a module over its Levi factor. All the nilradicals considered are 2-step nilpotent.",

keywords = "Lie algebra homology, Nilradicals of parabolics",

author = "Alvarez, {Mar{\'i}a Alejandra} and Paulo Tirao",

note = "Funding Information: ✩ Supported by grants from CONICET, MinCyT C{\'o}rdoba and Secyt-Univ. C{\'o}rdoba.",

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AU - Alvarez, María Alejandra

AU - Tirao, Paulo

N1 - Funding Information: ✩ Supported by grants from CONICET, MinCyT Córdoba and Secyt-Univ. Córdoba.

PY - 2012/2/15

Y1 - 2012/2/15

N2 - We consider a family of parabolic subalgebras p of a simple Lie algebra of type A n and give a full description of the adjoint homology of the nilradicals of p as a module over its Levi factor. All the nilradicals considered are 2-step nilpotent.

AB - We consider a family of parabolic subalgebras p of a simple Lie algebra of type A n and give a full description of the adjoint homology of the nilradicals of p as a module over its Levi factor. All the nilradicals considered are 2-step nilpotent.

KW - Lie algebra homology

KW - Nilradicals of parabolics

UR - http://www.scopus.com/inward/record.url?scp=84855219032&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2011.11.020

DO - 10.1016/j.jalgebra.2011.11.020

M3 - 文章

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SN - 0021-8693

VL - 352

SP - 268

EP - 289

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

The adjoint homology of a family of 2-step nilradicals

Abstract

Keywords

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