A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers

DOI10.1090/S0002-9939-08-09700-1zbMath1160.14036MaRDI QIDQ3623336

Daisuke Takeda, Makoto Nagura, Shin-ichi Otani

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dynkin quiversemisimple finite prehomogeneous vector space

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Representations of quivers and partially ordered sets (16G20) Prehomogeneous vector spaces (11S90)

Related Items (1)

Root Sublattices and Torus-Restriction of Prehomogeneous Vector Spaces Associated with Dynkin Quivers

Cites Work

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• A characterization of finite prehomogeneous vector spaces of \(D_4\)-type under various scalar restrictions.
• A remarks on prehomogeneous actions of linear algebraic groups
• Conditions on a finite number of orbits for \(A_r\)-type quivers.
• A Classification of the Representations of Reductive Algebraic Groups Which Admit Only a Finite Number of Orbits
• A classification of irreducible prehomogeneous vector spaces and their relative invariants

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