Development from prehomogeneous vector spaces to weakly spherical homogeneous spaces

从预齐次向量空间到弱球齐次空间的发展

• 批准号: 11440001
• 负责人: KIMURA Tatsuo
• 金额: $ 7.1万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11440001/
• 关键词: Prehomogeneous vector spaces; weakly spherical homogeneous spaces; Fourier transform; Relative invaliant

The development of this year is a clarrification of weakly spherical homogeneous spaces obtained from dividing general linear groups by their irreducible algebraic inbgroups which we will call irreducible weakly spherical homogeneous spaces. The point is to clarify the relation between castling transforms and weakly sphericality. By doing this, we complete the clarrification corresponding to irreducible regular prehomogeneous spaces.

这一年的发展是弱球面齐性空间的澄清，它是通过将一般线性群除以它们的不可约代数内群而得到的，我们称之为不可约弱球面齐性空间。其目的是为了阐明Castling变换与弱球性之间的关系。从而完成了不可约正则预齐性空间的分类。

项目成果

M.Kitazume, M.Miyamoto, H.Yamada: "Borwein Identity and Vertex Operator Algebras"J. Number Theory. 82. 100-108 (2000)

M.Kitazume、M.Miyamoto、H.Yamada：“Borwein 恒等式和顶点算子代数”J。

Taira,Palagachev,Popivanov: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Math.. 23,1. 227-234 (2000)

Taira，Palagachev，Popivanov：“拟线性椭圆方程的退化诺伊曼问题”东京数学杂志.. 23,1。

M. Ktazazume, M. Miyamoto, H. Yamada: "Borwein Identity and Vertex Operator Algebras"J. Number Theory. 82. 100-108 (2000)

M. Ktazazume、M. Miyamoto、H. Yamada：“Borwein 恒等式和顶点算子代数”J。

M.Kitazume M.Miyamoto H.Yamada: "Borwein Indentity and Vertex operator Algebras"J.Number Theory. 82. 100-108 (2000)

M.Kitazume M.Miyamoto H.Yamada：“Borwein 恒等式和顶点算子代数”J.数论。

M.Takeuchi: "The cylinder product and cylinder matrices"journal of Algelra. 222. 485-499 (1999)

M.Takeuchi：“圆柱积和圆柱矩阵”Algelra 杂志。