Quotients of some prehomogeneous vector spaces

DOI10.1006/jabr.1996.6979zbMath0893.17007OpenAlexW2033972332MaRDI QIDQ1359016

Hiroyuki Ochiai

Publication date: 2 May 1998

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

Full work available at URL: https://semanticscholar.org/paper/25ac5c66c8efa19eaa1bbc1f3c83e03a7410e28e

zbMATH Keywords

prehomogeneous vector spacesconstruction of relative invariants

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (8)

Nonregular 2-simple prehomogeneous vector spaces of type I and their relative invariants ⋮ Relative invariants of some 2-simple prehomogeneous vector spaces ⋮ ON THE GIT STRATIFICATION OF PREHOMOGENEOUS VECTOR SPACES III ⋮ Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ The concomitants of a prehomogeneous vector space. ⋮ Symmetry in the functional equation of a local zeta distribution ⋮ Prehomogeneous vector spaces and ergodic theory. III ⋮ Construction of irreducible relative invariant of the prehomogeneous vector space \((\text{SL}_5 {\times} \text{GL}_4,\Lambda^{2}({\mathbb C}^5)\otimes{\mathbb C}^4)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• Espaces homogènes sphériques. (Spherical homogeneous spaces)
• On a certain class of prehomogeneous vector spaces
• Construction of invariants
• Prehomogeneous vector spaces and field extensions
• Representations of simple Lie groups with regular rings of invariants
• Representations of simple Lie groups with a free module of covariants
• Remarks on Classical Invariant Theory
• Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Minor summation formula of pfaffians

This page was built for publication: Quotients of some prehomogeneous vector spaces