Universal transitivity of simple and 2-simple prehomogeneous vector spaces

DOI10.5802/AIF.1133zbMath0606.14037OpenAlexW2328123087MaRDI QIDQ1084465

B. George

Publication date: 1988

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_2_11_0

zbMATH Keywords

Galois cohomologyprehomogeneous vector spaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Galois cohomology (12G05)

Related Items (2)

Decomposition of reductive regular prehomogeneous vector spaces ⋮ Universal transitivity of reductive prehomogeneous vector spaces with a finite number of orbits

Cites Work

• A classification of prehomogeneous vector spaces of simple algebraic groups with scalar multiplications
• Formes réelles des espaces préhomogènes irréductibles de type parabolique. (Real forms of irreducible prehomogeneous vector spaces of parabolic type)
• On functional equations of complex powers
• A classification of 2-simple prehomogeneous vector spaces of type I
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• Some P.V.-Equivalences and a Classification of 2-Simple Prehomogeneous Vector Spaces of Type II
• Local Zeta Functions of Certain Prehomogeneous Vector Spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants

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