Algèbre de Lie de dérivations de certaines algèbres pures
type: Item
instance of: scholarly article
title: Algèbre de Lie de dérivations de certaines algèbres pures
zbMATH Open document ID: 0788.55010
DOI: 10.1016/0022-4049(94)90137-6
author: Pierre-Paul Grivel
published in: Journal of Pure and Applied Algebra
publication date: 1994-06-05T00:00:00Z
review text: The author uses Sullivan minimal models theory to study the rational homotopy type of the \(H\)-space of homotopy self-equivalences of certain flag manifolds. These are special cases of \textit{W. Meier's} paper [Some topological properties of Kähler manifolds and homogeneous spaces, Math. Z. 183, 473-481 (1983; Zbl 0517.55005)]. The brief recollections on flag manifolds, their cohomology and minimal models, \dots provide very specific examples in the theory of minimal models.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55P10
zbMATH DE Number: 500567
zbMATH Keywords: rational homotopy type of the \(H\)-space of homotopy self-equivalences of flag manifolds
zbMATH Keywords: minimal models
Wikidata QID: Q115364399
reviewed by: Jean-Claude Thomas
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)90137-6
OpenAlex ID: W1978103180
cites work: Sur les variétés analytiques complexes
cites work: Self-Maps of Flag Manifolds
cites work: Q4165937
cites work: Q4084975
cites work: Finiteness in the Minimal Models of Sullivan
cites work: Rational universal fibrations and flag manifolds
cites work: Some topological properties of Kaehler manifolds and homogeneous spaces
cites work: Rational fibrations, homogeneous spaces with positive Euler characteristics and Jacobians
cites work: Infinitesimal computations in topology
description: scientific article; zbMATH DE number 500567