Some properties of associated spaces with sub-Hankel determinants
Representation Theory
2016-09-06 v1
Abstract
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 transforms of sub-Hankel determinants. Moreover we observe certain relations between -functions of polarization of PVpolynomials and -functions of sub-Hankel determinants, and give some formulas about sub-Hankel determinants whose components are orthogonal ponlynomials.
Keywords
Cite
@article{arxiv.1609.01039,
title = {Some properties of associated spaces with sub-Hankel determinants},
author = {Hideyuki Ishi and Takeyoshi Kogiso},
journal= {arXiv preprint arXiv:1609.01039},
year = {2016}
}