A characterization of finite prehomogeneous vector spaces of \(D_4\)-type under various scalar restrictions.

DOI10.21099/tkbjm/1251833207zbMath1190.20037OpenAlexW1581640250MaRDI QIDQ1032692

Tomohiro Kamiyoshi

Publication date: 26 October 2009

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1251833207

zbMATH Keywords

numbers of orbitsprehomogeneous vector spacesrational representationsirreducible componentsconnected linear algebraic groupsZariski-dense orbits

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Homogeneous spaces (22F30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Prehomogeneous vector spaces (11S90)

Related Items (2)

A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers ⋮ Root Sublattices and Torus-Restriction of Prehomogeneous Vector Spaces Associated with Dynkin Quivers

This page was built for publication: A characterization of finite prehomogeneous vector spaces of \(D_4\)-type under various scalar restrictions.