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PencilsOfQuadrics :: oddOperators

oddOperators -- part of a CliffordModule

Synopsis

Description

The list of the odd operators uOdd_i: M_1\to M_0

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.oddOperators

o5 = {{-4} | 0  0   0  0  5t 0  0 0  |, {-4} | 0  0 0  0 -s 0 0  0 |, {-4} |
      {-3} | 0  0   5t 0  0  0  0 0  |  {-3} | 0  0 -s 0 0  0 0  0 |  {-3} |
      {-3} | 0  -5t 0  0  0  0  0 0  |  {-3} | 0  s 0  0 0  0 0  1 |  {-3} |
      {-3} | 5t 0   0  0  0  0  0 0  |  {-3} | -s 0 0  0 0  0 -1 0 |  {-3} |
      {-3} | 0  0   0  0  0  0  0 -1 |  {-3} | 0  0 0  0 0  0 0  0 |  {-3} |
      {-3} | 0  0   0  0  0  0  1 0  |  {-3} | 0  0 0  0 0  0 0  0 |  {-3} |
      {-3} | 0  0   0  0  0  -1 0 0  |  {-3} | 0  0 0  0 1  0 0  0 |  {-3} |
      {-2} | 0  0   0  -1 0  0  0 0  |  {-2} | 0  0 1  0 0  0 0  0 |  {-2} |
     ------------------------------------------------------------------------
     0     0    0      0     -12t 18t s+30t 0  |, {-4} | 0    0    0    0   
     0     0    -12t   18t   0    0   0     -1 |  {-3} | 0    0    12t  -10t
     0     12t  0      s+30t 0    0   0     0  |  {-3} | 0    -12t 0    -6t 
     -12t  0    0      0     0    1   0     0  |  {-3} | 12t  0    0    48t 
     0     -18t -s-30t 0     0    0   0     0  |  {-3} | 0    10t  6t   0   
     18t   0    0      0     -1   0   0     0  |  {-3} | -10t 0    -48t 0   
     s+30t 0    0      0     0    0   0     0  |  {-3} | -6t  48t  0    0   
     0     -1   0      0     0    0   0     0  |  {-2} | 1    0    0    0   
     ------------------------------------------------------------------------
     12t -10t -6t 48t |}
     0   0    1   0   |
     0   -1   0   0   |
     0   0    0   0   |
     1   0    0   0   |
     0   0    0   0   |
     0   0    0   0   |
     0   0    0   0   |

o5 : List

See also

For the programmer

The object oddOperators is a symbol.