On the regularity of prehomogeneous vector spaces

DOI10.3792/PJAA.68.341zbMath0849.14020OpenAlexW1980317119MaRDI QIDQ2366794

Akihiko Gyoja

Publication date: 10 April 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.341

zbMATH Keywords

codimension one componentsdual of a regular prehomogeneous vector space

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Almost homogeneous manifolds and spaces (32M12)

Cites Work

• A counterexample in the theory of prehomogeneous vector spaces
• Highest weight modules and \(b\)-functions of semi-invariants
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Unnamed Item

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