Relative invariants of 2-simple prehomogeneous vector spaces of type I
type: Item
instance of: scholarly article
title: Relative invariants of 2-simple prehomogeneous vector spaces of type I
zbMATH Open document ID: 1115.14037
author: Tatsuo Kimura
author: Takeyoshi Kogiso
author: Kazunari Sugiyama
published in: Journal of Algebra
publication date: 2007-04-18T00:00:00Z
review text: The \(2\)-simple prehomogeneous vector spaces of type I have been classified by \textit{T. Kimura, S. Kasai, M. Inuzuka} and \textit{O. Yasukura} [J. Algebra 114, 369--400 (1988; Zbl 0658.20026)]. In the present paper the authors find explicit constructions of relative invariants of such spaces thereby completing the work started by \textit{T. Kogiso, G. Miyabe, M. Kobayashi} and \textit{T. Kimura} [J. Algebra 251, 27--69 (2002; Zbl 1034.14024)], and \textit{T. Kogiso, G. Miyabe, M. Kobayashi} and \textit{T. Kimura} [Math. Comput. 72, 865--889 (2003; Zbl 1068.11076)].
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 11S90
zbMATH DE Number: 5144419
zbMATH Keywords: prehomogeneous vector space
zbMATH Keywords: representation
zbMATH Keywords: Young diagram
zbMATH Keywords: invariant
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2006.04.036
OpenAlex ID: W2073143908
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DOI: 10.1016/J.JALGEBRA.2006.04.036
description: scientific article; zbMATH DE number 5144419