| CRITERION FOR SL（2,Z）－MATRIX TO BE CONJUGATE TO ITS INVERSE |
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| 引用本文： | LONG Yiming. CRITERION FOR SL（2,Z）－MATRIX TO BE CONJUGATE TO ITS INVERSE[J]. 数学年刊B辑(英文版), 2002, 23(4): 455-460 |
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| 作者姓名： | LONG Yiming |
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| 作者单位： | LONG YIMINGNankai Institute of Mathematics，Nankai University，Tianjin 300071，China. E-mail: longym@nankai.edu.cn. |
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| 基金项目： | Project supported by the 973 Program of STM, MCME, RFDP, PMC Key Lab of EM of China，S. S. Chern Foundation, CEC of Tianjin, and Nankai University. |
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| 摘 要： | This paper gives a necessary and sufficient condition for a matrix in SL(2, Z) to be conjugate to its inverse. This condition reduces the determination of the conjugation to solving some indeterminate equation of second degree. It yields an algorithm to determine this conjugation in finite steps based on the elementary number theory.
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| 关 键 词： | 判别准则 矩阵 逆矩阵 共轭性 混合稳定性 不定方程 非对称性 |
| 收稿时间： | 2005-09-01 |
CRITERION FOR SL(2,Z)-MATRIX TO BE CONJUGATE TO ITS INVERSE |
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| LONG Yiming. CRITERION FOR SL(2,Z)-MATRIX TO BE CONJUGATE TO ITS INVERSE[J]. Chinese Annals of Mathematics,Series B, 2002, 23(4): 455-460 |
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| Authors: | LONG Yiming |
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| Affiliation: | Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China |
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| Abstract: | This paper gives a necessary and sufficient condition for a matrix in SL(2, Z) to be conjugate to its inverse. This condition reduces the determination of the conjugation to solving some indeterminate equation of second degree. It yields an algorithm to determine this conjugation in finite steps based on the elementary number theory. |
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| Keywords: | SL(2 Z) matrix Inverse Mixed stability |
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