Can Elementary Particles be related with irreducible representation?

[Clandestine M]

Hi,

I am quite naive in Particle Physics, and I have a question that

Can Elementary Particles be related with irreducible representation?


Could we say scalar, vector, and spinor are irreducible representation of SO(3)?


Thanks a lot! I also wish I could have some reference on this topic.

 

[Simon Bridge]

http://en.wikipedia.org/wiki/Particle_physics_and_representation_theory

 

[Clandestine M]

Thanks a lot! Internal symmetry should also be considered. In the beginning part of this article, only Poincare' Symmetry for classification has been mentioned.

 

[Clandestine M]

And the difference of classification of Boson and Fermion?

 

[king vitamin]

http://en.wikipedia.org/wiki/Spin-statistics_theorem

 

[Simon Bridge]

... always bearing in mind that wikipedia should be treated only as a starting point for further searches.
From the links provided you should be able to find the rest that you are looking for.