Cone-decompositions of the special unitary groups
type: Item
instance of: scholarly article
title: Cone-decompositions of the special unitary groups
zbMATH Open document ID: 1210.55002
author: Hiroyuki Kadzisa
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2011-01-13T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1290608200
review text: The author uses a filtration of complex Stiefel manifolds given by \textit{H. Miller} [Topology 24, 411--419 (1985; Zbl 0581.55006)] in order to construct cone-decompositions of the unitary groups. As an application, the author reproves the equality \(\text{cat}U(n)=n\) proved by \textit{W. Singhof} [Math. Z. 145, 111--116 (1975; Zbl 0315.55012)].
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 57N60
zbMATH DE Number: 5835839
zbMATH Keywords: Lusternik-Schnirelmann theory
zbMATH Keywords: cone-decomposition
zbMATH Keywords: Miller filtration
zbMATH Keywords: special unitary group.
reviewed by: Yuli Rudyak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5835839