The Galilei group contains rotations, Galilean transformations, space translation and time translation.(adsbygoogle = window.adsbygoogle || []).push({});

It is easy to work out generators for rotations and Galilean transfromations in matrix form.

And they obey:

[tex][J^i, K^j] = i \epsilon^{ijk}K^k[/tex]

Can one work out the generator for space translation, [tex]P[/tex]? so that one can show explicitly that:

[tex][K^i, P^j] = 0[/tex]

and same for time translation.

[tex][K^i, H] = i P^i[/tex]

OR

there is no matrix form for these two generators?

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# How to find the generator of translation?

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