Some topological properties of quotients modulo semisimple algebraic groups
type: Item
instance of: scholarly article
title: Some topological properties of quotients modulo semisimple algebraic groups
zbMATH Open document ID: 1179.13004
DOI: 10.4171/CMH/181
published in: Commentarii Mathematici Helvetici
publication date: 2009-09-29T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: The author proves a general result in Invariant Theory, viz. for a quotient \(\mathbb{C}^n//G\), where \(G\) is a connected complex semisimple algebraic group, the local first homology group at any point in the quotient \(\mathbb{C}^n//G\) is trivial and the local second homology group is finite. Using this, he is able to prove that the completion of the local ring of any point in \(\mathbb{C}^n//G\) is a unique factorization domain (UFD).
reviewed by: Jebrel M. Habeb
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 14L30
zbMATH DE Number: 5609485
zbMATH Keywords: semisimple algebraic group
zbMATH Keywords: quotient
zbMATH Keywords: homology group
author: Rajendra Gurjar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5609485