首页> 外文期刊>Journal of Mathematical Physics >EXTENDED DOUBLE RIEMANN-HILBERT PROBLEM AND MULTIPLE REPRESENTATIONS OF THE INFINITE-DIMENSIONAL SYMMETRIC GROUP FOR THE STATIONARY AXISYMMETRIC VACUUM FIELD EQUATIONS
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EXTENDED DOUBLE RIEMANN-HILBERT PROBLEM AND MULTIPLE REPRESENTATIONS OF THE INFINITE-DIMENSIONAL SYMMETRIC GROUP FOR THE STATIONARY AXISYMMETRIC VACUUM FIELD EQUATIONS

机译:静态轴对称真空场方程的扩展双重黎曼-希尔伯特问题和无限维对称群的多重表示

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摘要

The double-complex function method suggested in previous papers is extended and the extended method is used to establish two mutually dual extended double Hauser-Ernst equations and related Riemann-Hilbert problems, then quadruple representations of the semidirect product of the Kac-Moody and Virasoro groups are given. These show that, for the stationary axisymmetric vacuum space-times, there are more and richer symmetry structures than previously expected. The multiple forms of some well-known transformations can be obtained as some special cases. (C) 1997 American Institute of Physics. [References: 25]
机译:扩展了先前论文中建议的双复函数方法,并将该扩展方法用于建立两个相互对偶的扩展双Hauser-Ernst方程和相关的Riemann-Hilbert问题,然后对Kac-Moody和Virasoro的半直接乘积进行四次表示分组。这些表明,对于固定的轴对称真空时空,存在比以前预期的更多和更丰富的对称结构。作为一些特殊情况,可以获得一些众所周知的转换的多种形式。 (C)1997美国物理研究所。 [参考:25]

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