Note on prehomogeneous vector spaces.

DOI10.1007/s00605-013-0523-0zbMath1304.20059OpenAlexW2065148186MaRDI QIDQ398685

Janez Bernik, Mitja Mastnak

Publication date: 15 August 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0523-0

zbMATH Keywords

prehomogeneous vector spaceslinear algebraic groupsBorel subgroupssemitransitive actions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Structure theory for Lie algebras and superalgebras (17B05) Prehomogeneous vector spaces (11S90)

Related Items (4)

Lie algebras acting semitransitively ⋮ On semitransitive Lie algebras of minimal dimension ⋮ On certain graded representations of filiform Lie algebras ⋮ Quasi-filiform Lie algebras of maximum length revisited

Cites Work

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• Some remarks on nilpotent orbits
• Modules for algebraic groups with finitely many orbits on subspaces
• Lie algebras acting semitransitively
• Orbits and their closures in the spaces $ \mathbb C^{k_1}\otimes\dots\otimes\mathbb C^{k_r}$
• A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic 2 (I)
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• On semitransitive Lie algebras of minimal dimension

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