A classification of a certain class of reductive prehomogeneous vector spaces

DOI10.1080/00927878908823798zbMath0671.20037OpenAlexW2101896182MaRDI QIDQ3824589

Shin-ichi Kasai

Publication date: 1989

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878908823798

zbMATH Keywords

irreducible rational representationssemi-simple linear algebraic groupreductive prehomogeneous vector spaces

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (1)

A classification of a certain class of reductive prehomogeneous vector spaces. II

Cites Work

• A classification of prehomogeneous vector spaces of simple algebraic groups with scalar multiplications
• A classification of 2-simple prehomogeneous vector spaces of type I
• A Classification of the Representations of Reductive Algebraic Groups Which Admit Only a Finite Number of Orbits

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