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

DOI10.1006/jabr.2002.9078zbMath1035.17041OpenAlexW2023547842WikidataQ115395652 ScholiaQ115395652MaRDI QIDQ1602023

Iris Muller

Publication date: 15 April 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2002.9078

zbMATH Keywords

prehomogeneous vector spaces of parabolic typelocal zeta-functions

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Prehomogeneous vector spaces (11S90) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

• The adèlic zeta function associated to the space of binary cubic forms. I: Global theory
• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• On functional equations of complex powers
• Some remarks on nilpotent orbits
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• On zeta functions associated with prehomogeneous vector spaces
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• Orthogonal roots and orbits of graded semisimple Lie algebras
• Structure and orbits of certain prehomogeneous vector spaces related with orthogonal roots
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Classification d’orbites pour une classe d’espaces préhomogènes
• Z-graduations de type parabolique et polynomes harmoniques
• Fonction zêta associée à la série principale sphérique de certains espaces symétriques
• Une fonction zêta associée à certaines familles d'espaces symétriques réels
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