Non-parabolic prehomogeneous vector spaces and exceptional Lie algebras

DOI10.1016/J.JALGEBRA.2004.05.025zbMath1060.17003OpenAlexW2015920726WikidataQ115351722 ScholiaQ115351722MaRDI QIDQ706021

Hubert Rubenthaler

Publication date: 16 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.025

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Exceptional (super)algebras (17B25) Prehomogeneous vector spaces (11S90)

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Cites Work

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• Construction de certaines sous-algèbres remarquables dans les algèbres de Lie semi-simples
• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• Opérateurs différentiels de Shimura et espaces préhomogènes. (Shimura differential operators and prehomogeneous spaces)
• On zeta functions associated with prehomogeneous vector spaces
• Affine Kac-Moody algebras graded by affine root systems
• Simple Lie algebras graded by a root system and \(C\)-admissible subalgebras
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
• Semisimple subalgebras of semisimple Lie algebras
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Fonction zêta associée à la série principale sphérique de certains espaces symétriques
• Convergence of the zeta functions of prehomogeneous vector spaces
• Local zeta functions attached to the minimal spherical series for a class of symmetric spaces
• A Classification of Spinors Up to Dimension Twelve
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

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