Rational orbits of the space of pairs of exceptional Jordan algebras

DOI10.1016/J.JNT.2017.12.008zbMath1434.11222arXiv1603.00739OpenAlexW2962862807WikidataQ129969233 ScholiaQ129969233MaRDI QIDQ1748147

Akihiko Yukie, Ryo Kato

Publication date: 2 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00739

zbMATH Keywords

prehomogeneous vector spacesJordan algebracubic fields

Mathematics Subject Classification ID

Density theorems (11R45) Prehomogeneous vector spaces (11S90)

Related Items (6)

ON THE GIT STRATIFICATION OF PREHOMOGENEOUS VECTOR SPACES III ⋮ A Fulton-Hansen theorem for almost homogeneous spaces ⋮ On the density of unnormalized Tamagawa numbers of orthogonal groups III ⋮ On the GIT stratification of prehomogeneous vector spaces. II. ⋮ On the density theorem related to the space of non-split tri-Hermitian forms. I ⋮ On the density theorem related to the space of non-split tri-Hermitian forms. II

Cites Work

• On reduced exceptional simple Jordan algebras
• On a certain class of prehomogeneous vector spaces
• Prehomogeneous vector spaces and field extensions
• Prehomogeneous vector spaces and field extensions. II
• Prehomogeneous vector spaces and field extensions. III
• On parameterizations of rational orbits of some forms of prehomogeneous vector spaces
• Algebraic Groups Over Finite Fields
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Affine Coset Spaces of Reductive Algebraic Groups
• Geometric Invariant Theory
• Some Groups of Type E₇
• On equivariant maps related to the space of pairs of exceptional Jordan algebras
• Linear algebraic groups.
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