Invariant theory of special orthogonal groups
type: Item
instance of: scholarly article
title: Invariant theory of special orthogonal groups
zbMATH Open document ID: 0830.15027
author: Helmer Aslaksen
author: Eng-Chye Tan
author: Chen-Bo Zhu
published in: Pacific Journal of Mathematics
publication date: 1995-11-05T00:00:00Z
review text: We study the action of \(SO (n)\) on \(m\)-tuples of \(n \times n\) matrices by simultaneous conjugation. We show that the polynomial invariants are generated by traces and polarized Pfaffians of skewsymmetric projections. We also discuss the same problem for other classical groups.
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 20G20
zbMATH DE Number: 812627
zbMATH Keywords: orthogonal groups
zbMATH Keywords: polynomial invariants
zbMATH Keywords: traces
zbMATH Keywords: polarized Pfaffians
zbMATH Keywords: skewsymmetric projections
MaRDI profile type: Publication
full work available at URL: pjm.1995.168.207
OpenAlex ID: W1976558042
DOI: 10.2140/PJM.1995.168.207
description: scientific article; zbMATH DE number 812627