Hi to all the readers of the forum.(adsbygoogle = window.adsbygoogle || []).push({});

I cannot figure out the following thing.

I know that a representation of a groupGon a vector spaceVs a homomorphism fromGto GL(V).

I know that a scalar (in Galileian Physics) is something that is invariant under rotation.

How can I reconcile this with the following sentence:

"an ordinary scalar belongs to the one-dimensional representation of the SO(3) group".

(It is taken from Griffiths' Introduction to elementary particles, but it is written in all introductory books on Particle Physics, as you will know)

What is the one-dimensional representation in question? Is it the function constantly equal to 1?

Even in that case, I am not sure I would understand.

Please, can someone elaborate on that? I cannot see which is the homomorphism involved!

Thank you for any help :-)

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# Scalar as one dimensional representation of SO(3)

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