A family of simple weight modules over the Virasoro algebra
type: Item
instance of: scholarly article
title: A family of simple weight modules over the Virasoro algebra
zbMATH Open document ID: 1396.17007
author: Rencai Lü
author: Kaiming Zhao
published in: Journal of Algebra
publication date: 2017-08-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/1303.0702
review text: In this paper the authors use simple modules over the Lie algebra of derivations of the polynomial algebra \(\mathbb{C}[t]\) to construct a new family of simple weight modules over the Witt and Virasoro algebras. All non-zero weight spaces in modules of this family are infinite dimensional. The authors provide an isomorphism criteria for these modules and compare them to known simple Virasoro modules.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 6766500
zbMATH Keywords: simple module
zbMATH Keywords: weight module
zbMATH Keywords: Weyl algebra
zbMATH Keywords: Witt algebra
zbMATH Keywords: Virasoro algebra
MaRDI profile type: Publication
OpenAlex ID: W2963673032
arXiv ID: 1303.0702
Wikidata QID: Q112881655
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DOI: 10.1016/J.JALGEBRA.2017.02.004
description: scientific article