Construction of irreducible relative invariant of the prehomogeneous vector space \((\text{SL}_5 {\times} \text{GL}_4,\Lambda^{2}({\mathbb C}^5)\otimes{\mathbb C}^4)\)

DOI10.1016/S0024-3795(02)00348-8zbMath1027.11091MaRDI QIDQ1855377

Takeyoshi Kogiso, Masaki Fujigami, Katsutoshi Amano

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

invariant theoryprehomogeneous vector spaceirreducible relative invariant

Mathematics Subject Classification ID

Prehomogeneous vector spaces (11S90)

Related Items (5)

A construction of quintic rings ⋮ Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ The concomitants of a prehomogeneous vector space. ⋮ On the space of quadruples of quinary alternating forms. ⋮ Orbit closure diagram for the space of quadruples of quinary alternating forms

Cites Work

• Construction of invariants
• Invariants, nilpotent orbits, and prehomogeneous vector spaces
• Quotients of some prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants

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