Noetherian enveloping algebras of simple graded Lie algebras

Fuente: arXiv
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Autori principali: Andruskiewitsch, Nicolás, Mathieu, Olivier
Natura: Preprint
Pubblicazione: 2024
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author Andruskiewitsch, Nicolás
Mathieu, Olivier
author_facet Andruskiewitsch, Nicolás
Mathieu, Olivier
contents It is shown that if the universal enveloping algebra of a simple $\mathbb Z^n$-graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.
format Preprint
id arxiv_https___arxiv_org_abs_2405_15235
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Noetherian enveloping algebras of simple graded Lie algebras
Andruskiewitsch, Nicolás
Mathieu, Olivier
Rings and Algebras
16S30, 17B35
It is shown that if the universal enveloping algebra of a simple $\mathbb Z^n$-graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.
title Noetherian enveloping algebras of simple graded Lie algebras
topic Rings and Algebras
16S30, 17B35
url https://arxiv.org/abs/2405.15235