Ok.Let me summerize what confuses me.
Separations of elementary particles is on bosons ,which have integer spin and fermions with halfinteger spin.
This classification is derived on two separate ways:
1.from behavior of system of n identical particles upon permutations which gives phase...
Dirrect product of two Z2 is K2 which has 4 nonequivalent irreducible representations.
I am not sure whether the fundamental group of direct product of groups is dirrect product of fundamental groups.
So nice to finaly have someone to talk about this,who could clearify this subject to me.:smile:
http://en.wikipedia.org/wiki/Anyon
section Topological basis,
Group of physical system is a direct product of Poincare and permutation group in relativistic ,or Galilean and permutation group in...
Thank you for quick and detailed reply.
About moding out,did you ment taking symmetrized or antisymmetrized tensor product of M^n configuration space?
I read that fundamental group in space with dimension different from 2 is cyclic of order 2 because there is two different classes of paths...
How does fundamental group determines number of possible quantum statistics?
Why is number of possible statistics equal to number of different possible paths?