Cohomology of unitary and symplectic groups
type: Item
instance of: scholarly article
title: Cohomology of unitary and symplectic groups
zbMATH Open document ID: 0948.55016
published in: Lobachevskii Journal of Mathematics
publication date: 2000-07-25T00:00:00Z
full work available at URL: https://eudml.org/doc/225032
full work available at URL: yau.htm
review text: The author carries out a standard exercise in algebraic topology. Namely he shows how one can use the Serre spectral sequence to inductively compute the (integral) cohomology rings of \(SU(n)\) and \(Sp(n)\) for all \(n\geq 2\), as well as the (integral) cohomology rings of the corresponding Stiefel varieties \(SU(n)/SU(n-k)\) and \(Sp(n)/Sp(n-k)\) for \(n\geq 1\) and \(1\leq k\leq n\). For an alternative description of the same argument we would like to refer the interested reader to \S 5.2.1~in \textit{J. McCleary}'s textbook ``User's guide to spectral sequences'' (1985; Zbl 0577.55001).
reviewed by: Michael Joachim
Mathematics Subject Classification ID: 55T10
Mathematics Subject Classification ID: 57T10
Mathematics Subject Classification ID: 55R20
zbMATH DE Number: 1463551
zbMATH Keywords: unitary group
zbMATH Keywords: symplectic group
zbMATH Keywords: Serre spectral sequence
author: Donald Yau
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1463551