期刊论文详细信息
Proceedings of the Japan Academy, Series A. Mathematical Sciences | |
Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication | |
article | |
Nagatoshi Sasano1  | |
[1] Institute of Mathematics-for-Industry, Kyushu University | |
关键词: Mahler problem; Liouville number; transcendental function.; | |
DOI : 10.3792/pjaa.93.124 | |
学科分类:数学(综合) | |
来源: Japan Academy | |
【 摘 要 】
The aim of this paper is to study relations between regular reductive prehomogeneous vector spaces (PVs) with one-dimensional scalar multiplication and the structure of graded Lie algebras. We will show that the regularity of such PVs is described by an $\mathfrak{sl}_{2}$-triplet of a graded Lie algebra.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000329ZK.pdf | 99KB | download |