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arXiv math-ph/0001003math-phmath.MPnlin.SI
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SO(2)纺纱陀螺的矩阵分解及相关问题

Matrix Factorization for an SO(2) Spinning Top and Related Problems

Aleksandar Mikovic

摘要:

本文用代数几何方法研究了SO(2)陀螺的矩阵分解问题。我们推导出的Riemann θ函数的显式表达式,并讨论了一些相关的问题,包括一个非紧的扩展和情况下,当Lax矩阵包含高阶功率的谱参数。

英文摘要:

We study the matrix factorization problem associated with an SO(2) spinning top by using the algebro-geometric approach. We derive the explicit expressions in terms of Riemann theta functions and discus some related problems including a non-compact extension and the case when the Lax matrix contains higher-order powers of the spectral parameter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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