On a certain class of prehomogeneous vector spaces

DOI10.1016/0022-4049(87)90051-XzbMath0633.14030OpenAlexW2078374665MaRDI QIDQ1095985

Jun-ichi Jgusa

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90051-x

zbMATH Keywords

prehomogeneous vector spacescastling transformaction of linear grouproots of b- function

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30)

Related Items

Quotients of some prehomogeneous vector spaces, Prehomogeneous vector spaces and field extensions. III, Prehomogeneous vector spaces and ergodic theory. I, Universal transitivity of reductive prehomogeneous vector spaces with a finite number of orbits, On the space of quadruples of quinary alternating forms., Rational orbits of the space of pairs of exceptional Jordan algebras, Symmetry in the functional equation of a local zeta distribution, Prehomogeneous vector spaces and field extensions, Prehomogeneous vector spaces and ergodic theory II, Prehomogeneous vector spaces and ergodic theory. III

Cites Work

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• On functional equations of complex powers
• On the microlocal structure of the regular prehomogeneous vector space associated with \(SL(5)\times GL(4)\). I
• Spinors of 13-dimensional space
• On zeta functions associated with prehomogeneous vector spaces
• Galois Cohomology
• Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• A Classification of Spinors Up to Dimension Twelve