B: Introduction to quantum double model Hilbert space and linear operators G L H={gg∈G p L 8 L8 T8 T8 L i 2)=2g g T8|z)=8 8,z
Hilbert space and linear operators g L+ g L− g T+ g T− G g = i H g g G = : 1 1 , , , , g g g g g z g L z gz L z zg T z z T z z − − + − + − = = = = ，z B: Introduction to quantum double model
Hamiltonian H=∑(1-4(s)+∑(1-B(p) A(s)=∑4(s,p) B(p)=Be(s, p) j∈sar(s B(sp)=∑Ⅱn(np)[24s)B(p)=0 h…hk=hm=1
Hamiltonian 0 (1 1 ( )) ( ( )) s p H A s B p = − + − ( ) ( ) 1 , g g A s A s p G = B p B s p ( ) = e ( , ) ( ) ( ) ( ) ( ) , , g g g j star s A s p A s L j s = = ( ) ( ) 1 1 , , m k k h h m h h h m B s p T j p = = = … [A(s),B(p)]=0