Prehomogeneous vector spaces obtained from triangle arrangements

DOI10.1016/j.jalgebra.2023.06.038arXiv2210.10467OpenAlexW4384207864MaRDI QIDQ6170767

Hideto Nakashima, Takeyoshi Kogiso

Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2210.10467

zbMATH Keywords

triangulationprehomogeneous vector spacesbasic relative invariantshomaloidal polynomials

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Nilpotent and solvable Lie groups (22E25) Prehomogeneous vector spaces (11S90)

Cites Work

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• On zeta functions associated with prehomogeneous vector spaces
• When is the Fourier transform of an elementary function elementary?
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• On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces
• Clifford quartic forms and local functional equations of non-prehomogeneous type
• LOCAL FUNCTIONAL EQUATIONS ATTACHED TO THE POLARIZATIONS OF HOMALOIDAL POLYNOMIALS
• Some properties of associated spaces with sub-Hankel determinants
• Polar Cremona transformations.

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