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math.RT2022
Prehomogeneous vector spaces obtained from triangle arrangements
Takeyoshi Kogiso, Hideto Nakashima
In this paper, we construct a new series of prehomogeneous vector spaces from figures made up of triangles, called triangle arrangements. Our main theorem states that, under suitab…
math.RT2016★ 1 cited
Some properties of associated spaces with sub-Hankel determinants
Hideyuki Ishi, Takeyoshi Kogiso
In this note, we show that the space associated with sub-Hankel determinant is a non-reductive, regular prehomogeneous vector space, and we give the multiplicative Legendre transfo…