A classification of 2-simple prehomogeneous vector spaces of type I

DOI10.1016/0021-8693(88)90300-6zbMath0658.20026OpenAlexW2059986513MaRDI QIDQ1111702

Osami Yasukura, Masaaki Inuzuka, Shin-ichi Kasai, Tatsuo Kimura

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90300-6

zbMATH Keywords

irreducible representationssimple algebraic groupsrational representation2-simple prehomogeneous vector spaces of type I

Mathematics Subject Classification ID

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

Related Items (12)

Nonregular 2-simple prehomogeneous vector spaces of type I and their relative invariants ⋮ Universal transitivity of simple and 2-simple prehomogeneous vector spaces ⋮ Relative invariants of some 2-simple prehomogeneous vector spaces ⋮ ON THE GIT STRATIFICATION OF PREHOMOGENEOUS VECTOR SPACES III ⋮ Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ A NOTE ON ÉTALE REPRESENTATIONS FROM NILPOTENT ORBITS ⋮ Decomposition of reductive regular prehomogeneous vector spaces ⋮ A classification of a certain class of reductive prehomogeneous vector spaces ⋮ Symmetry in the functional equation of a local zeta distribution ⋮ Étale representations for reductive algebraic groups with one-dimensional center ⋮ MULTIPLICITY ONE PROPERTY AND THE DECOMPOSITION OF b-FUNCTIONS ⋮ A classification of a certain class of reductive prehomogeneous vector spaces. II

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