An explicit formula for the cup-length of the rotation group
type: Item
instance of: scholarly article
title: An explicit formula for the cup-length of the rotation group
zbMATH Open document ID: 1379.57034
author: Július Korbaš
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2017-11-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1506477684
review text: Let SO\(_n\) denote the rotation group, i.e. the group of orthogonal \(n\times n\)-matrices of determinant 1. The modulo 2 cohomology algebra is described by [\textit{A. Borel}, C. R. Acad. Sci., Paris 232, 1628--1630, 2392--2394 (1951; Zbl 0045.44301)]. The main result of the reviewed paper is a nice explicit formula for the modulo 2 cup-length for SO\(_n\).
Mathematics Subject Classification ID: 57R19
Mathematics Subject Classification ID: 55M30
zbMATH DE Number: 6803433
zbMATH Keywords: cup-length
zbMATH Keywords: Lusternik-Schnirelmann category
zbMATH Keywords: rotation group (special orthogonal group)
reviewed by: Yuli Rudyak
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6803433