Volume no :5, Issue no: 2, June 2011

A CLASSIFICATION OF REDUCTIVE PREHOMOGENEOUS VECTOR SPACES OF SEPARATED TYPE WITH FULL SCALARS

Author's: TATSUO KIMURA, DAISUKE TAKEDA, TOMOHIRO KAMIYOSHI, MASAYA OUCHI, MICHIO HAMADA and TOSHIYUKI OTSU
Pages: [73] - [106]
Received Date: June 17, 2011
Submitted by:

Abstract

In this paper, we classify all reductive prehomogeneous vector spaces of separ-ated type with full scalars. They are obtained from reduced ones by castling transformations and we give the list of reduced such prehomogeneous vector spaces. We consider everything over the complex number field

Keywords

prehomogeneous vector spaces, classification.