Relation between symmetry, charges and one-particle states

alphaone
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Hi,
I recently saw an author make the following statement:
If the symmetry leaves the 1-particle states invariant then its associated charge Q acts on the 1-particle states |p> such that Q|p> = 0
This statement is nontrivial to me, so if anybody could show me how it works please let me know.
 
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Figured this out myself already, so no reply needed.
 

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