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evenCenter -- part of a CliffordModule

Synopsis

Description

Gives the action of Haag's center element y of the even Clifford algebra on the even part of M

i1 : kk = ZZ/101

o1 = kk

o1 : QuotientRing
 
i2 : g = 1

o2 = 1
 
i3 : (S, qq,  R,  u, M1, M2, Mu1, Mu2)=randomNicePencil(kk,g);
 
i4 : M = cliffordModule(M1,M2, R)

o4 = CliffordModule{...6...}

o4 : CliffordModule
 
i5 : M.evenCenter

o5 = {-4} | -49st+24t2 24s2t+13st2 -28st2     5s2t-5st2  -39t3     25st2-25t3
     {-3} | 50s        49st+24t2   5st        9st        25t2      45t2      
     {-3} | -6t        6st+43t2    -49st-24t2 -50s2+15st 15t2      5st+49t2  
     {-3} | 6t         -15t2       -24st      49st-24t2  -38t2     -15t2     
     {-3} | 9t         -5st+5t2    0          0          49st-24t2 50s2-15st 
     {-3} | -5t        -28t2       0          0          24st      -49st-24t2
     {-3} | -3t        -48st-26t2  28t2       -5st+5t2   -15t2     -6st-43t2 
     {-2} | 1          3t          -5t        -9t        -6t       -6t       
     ------------------------------------------------------------------------
     0         0            |
     0         0            |
     -45t2     25st2-25t3   |
     25t2      39t3         |
     9st       -5s2t+5st2   |
     -5st      -28st2       |
     49st+24t2 -24s2t-13st2 |
     -50s      -49st+24t2   |

             8      8
o5 : Matrix R  <-- R

See also

For the programmer

The object evenCenter is a symbol.