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Galilei group The closed subgroup of GL(5,R) consisting of Galilei transformations, i.e., of matrices of the following block structure R v a0 1 t

0 0 1

 where R ∈ SO(3), v, a ∈ R3, r ∈ R.

gamma function The complex function given by

N(z) = ∫ ∞

0 t z−1e−t dt

for complex z with positive real part.