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Structure and orbits of certain prehomogeneous vector spaces related with orthogonal roots

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Publication:1817249
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DOI10.3792/pjaa.72.104zbMath0860.17009OpenAlexW2146292292MaRDI QIDQ1817249

Iris Muller

Publication date: 16 April 1997

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.72.104


zbMATH Keywords

orbitsroot systemprehomogeneous vector spaces of parabolic type


Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Simple, semisimple, reductive (super)algebras (17B20)


Related Items (1)

Orthogonal roots, quadratic forms and orbits of simple graded Lie algebras




Cites Work

  • Structure of prehomogeneous spaces associated with certain graded Lie algebras
  • Micro-local analysis of prehomogeneous vector spaces
  • Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
  • A classification of irreducible prehomogeneous vector spaces and their relative invariants
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