An approach to annihilators in the context of vector field Lie algebras

Fuente: arXiv
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Main Authors: Conley, Charles H., Goode, William
Format: Preprint
Published: 2024
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author Conley, Charles H.
Goode, William
author_facet Conley, Charles H.
Goode, William
contents We present a general method for describing the annihilators of modules of Lie algebras under certain conditions, which hold for some tensor modules of vector field Lie algebras. As an example, we apply the method to obtain an efficient proof of previously known results on the annihilators of the bounded irreducible modules of Vec(R).
format Preprint
id arxiv_https___arxiv_org_abs_2403_01728
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An approach to annihilators in the context of vector field Lie algebras
Conley, Charles H.
Goode, William
Representation Theory
17B66
We present a general method for describing the annihilators of modules of Lie algebras under certain conditions, which hold for some tensor modules of vector field Lie algebras. As an example, we apply the method to obtain an efficient proof of previously known results on the annihilators of the bounded irreducible modules of Vec(R).
title An approach to annihilators in the context of vector field Lie algebras
topic Representation Theory
17B66
url https://arxiv.org/abs/2403.01728