Invariants, nilpotent orbits, and prehomogeneous vector spaces

DOI10.1016/0021-8693(91)90226-XzbMath0742.17012MaRDI QIDQ1178867

Akihiko Gyoja

Publication date: 26 June 1992

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

zbMATH Keywords

relative invariantsprehomogeneous vector space

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

The dimensions of spaces of Siegel cusp forms of general degree ⋮ Prehomogeneous spaces associated with complex nilpotent orbits ⋮ Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ Relative invariants of the polynomial rings over type \(A_ r\), \(\widetilde A_ r\) quivers ⋮ On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 ⋮ 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

• Some remarks on nilpotent orbits
• Remark on some combinatorial construction of relative invariants
• Construction of invariants
• SYZYGIES IN THE THEORY OF INVARIANTS
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
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