Sp(4)_Weyl_Group_Calculations

1678 days ago by jimlb

var('a,b') 
       
t=matrix([[a,0,0,0],[0,b,0,0],[0,0,1/b,0],[0,0,0,1/a]]);t 
       
s1=matrix([[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]);s1 
       
s2=matrix([[1,0,0,0],[0,0,1,0],[0,-1,0,0],[0,0,0,1]]);s2 
       
s1*t*s1.inverse() 
       
s2*t*s2.inverse() 
       
s1*s2 
       
(s1*s2)*t*(s1*s2).inverse() 
       
(s1*s2*s1)*t*(s1*s2*s1).inverse() 
       
(s2*s1*s2)*t*(s2*s1*s2).inverse() 
       
(s2*s1*s2*s1)*t*(s2*s1*s2*s1).inverse()