2-dimensional vector invariants of parabolic subgroups of \(Gl_ 2({\mathbb{F}}_ p)\) over the field \({\mathbb{F}}_ p^ 1\)
type: Item
instance of: scholarly article
title: 2-dimensional vector invariants of parabolic subgroups of \(Gl_ 2({\mathbb{F}}_ p)\) over the field \({\mathbb{F}}_ p^ 1\)
zbMATH Open document ID: 0872.13006
DOI: 10.1016/0022-4049(95)00128-X
author: H. E. A. Campbell
author: I. P. Hughes
published in: Journal of Pure and Applied Algebra
publication date: 1996-11-13T00:00:00Z
review text: The paper studies the polynomial invariants of the general linear group \(Gl_2(\mathbb{F}_p)\), the special linear group \(Sl_2(\mathbb{F}_p)\), and the upper triangular group \(U_2(\mathbb{F}_p)\) acting as usual on two copies of a 2-dimensional vector space over the finite prime field \(\mathbb{F}_p\). The authors point out that these algebras of invariants are Cohen-Macaulay, and compute for each a free module basis over a suitably chosen homogeneous system of parameters.
reviewed by: Matyas Domokos
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 932633
zbMATH Keywords: polynomial invariants of the general linear group
zbMATH Keywords: homogeneous system of parameters
zbMATH Keywords: Cohen-Macaulay algebra
MaRDI profile type: Publication
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full work available at URL: 0022-4049(95)00128-x
OpenAlex ID: W2019792427
description: scientific article; zbMATH DE number 932633