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大老李聊数学(全集)

S2E17. 24维晶体中特有的对称--有限单群分类定理(中)

17 Sep 2018

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这26个群虽然很奇怪,但是数学家根据它们之间或强或弱的联系,还是分成了四类。最早发现的一类叫“马蒂厄群”,它们是1860,70年代法国数学家马蒂厄发现的,甚至比李群的发现还早些。要理解马蒂厄群,我们还是可以先做一道智力题:请你在纸上随便画7个点,然后给这些点连线。连线要求是,每条线恰好经过三个点,不一定是直线,任意的曲线都行。而且连好之后,任意两个点属于且仅属于一条线,就是不能有任何两个点之间没有连线或者有多余1条的连线。你可以暂停试试看这道智力题。三维中的kissing number problem:上图: 120元胞体,一个四维的晶格微信订阅:dalaoli_shuxue

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