在别处得到的答案
The generators or a group are elements of a group from which all other elements of the group can be made by taking products of the generators.
Sometimes they talk about infintesimal generators. I like to take things by expample. Without the mathematical rigor, for a rotation in a plane this is the matrix that corresponds to an infintesimal change in the angle of rotation.
Everett (╮(╯▽╰)╭~(= ̄ U  ̄=)~)
组长2008-10-01 01:59:27
这里提到两个不同意义的生成元:
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"The generators or a group are elements of a group from which all other elements of the group can be made by taking products of the generators. "
这是离散群的生成元。
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"Sometimes they talk about infintesimal generators. I like to take things by expample. Without the mathematical rigor, for a rotation in a plane this is the matrix that corresponds to an infintesimal change in the angle of rotation. "
这是李群的生成元。力学中的生成元通常是指这一种。