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

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Publication:1950639
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DOI10.1016/j.jalgebra.2012.07.044zbMath1312.14111OpenAlexW2070789891MaRDI QIDQ1950639

Inhyun Ryu

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.044


zbMATH Keywords

finite prehomogeneous vector spacesuniversal transitivity


Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Prehomogeneous vector spaces (11S90)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On functional equations of complex powers
  • Universal transitivity of simple and 2-simple prehomogeneous vector spaces
  • On a certain class of prehomogeneous vector spaces
  • Infinite root systems, representations of graphs and invariant theory
  • Micro-local analysis of prehomogeneous vector spaces
  • 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
  • Indecomposable representations of graphs and algebras
  • Arithmetic Calculus of Fourier Transforms by Igusa Local Zeta Functions
  • Zeta Distributions Associated with Some Invariants
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