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
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【 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   

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