Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable
type: Item
instance of: scholarly article
title: Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable
zbMATH Open document ID: 1017.17029
DOI: 10.1007/BF02551403
published in: Theoretical and Mathematical Physics
publication date: 2001-01-15T00:00:00Z
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 1551594
zbMATH Keywords: infinite-dimensional Lie algebras
zbMATH Keywords: \(\mathbb{Z}\)-graded Lie algebras
zbMATH Keywords: continuous root system
zbMATH Keywords: continuous limit
zbMATH Keywords: Poisson brackets
Wikidata QID: Q115392072
author: A. M. Vershik
author: Boris Shoikhet
MaRDI profile type: Publication
cites work: Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
cites work: On classification of ℤ-graded Lie algebras of constant growth which have algebra ℂ[h] as Cartan subalgebra
cites work: The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
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cites work: Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)
cites work: A generalization of Quillen's lemma and its application to the Weyl algebras
cites work: A Class of Algebras Similar to the Enveloping Algebra of sl(2)
cites work: Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
full work available at URL: https://doi.org/10.1007/bf02551403
OpenAlex ID: W1971173494
description: scientific article; zbMATH DE number 1551594