Quotients of some prehomogeneous vector spaces
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Publication:1359016
DOI10.1006/jabr.1996.6979zbMath0893.17007OpenAlexW2033972332MaRDI QIDQ1359016
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
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
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- 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
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