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

DOI10.1016/0021-8693(90)90243-HzbMath0688.20024MaRDI QIDQ1263675

Shin-ichi Kasai

Publication date: 1990

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

zbMATH Keywords

actionirreducible rational representationsconnected semi-simple linear algebraic groupirreducible prehomogeneous vector spacereductive 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)

Cites Work

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• Construction de certaines sous-algèbres remarquables dans les algèbres de Lie semi-simples
• 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
• Some P.V.-Equivalences and a Classification of 2-Simple Prehomogeneous Vector Spaces of Type II
• A classification of a certain class of reductive prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants

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