tensor(Matrix,Module) -- tensor product

Synopsis

• Function: tensor

• Usage:

  f ** M

  M ** f

  tensor(f, M)

  tensor(M, f)

• Inputs:
  • f, a matrix,
  • M, a module,
• Outputs:
  • a matrix, formed by tensoring $f$ with the identity map of $M$

Description

i1 : R = ZZ/101[x,y];

i2 : R^2 ** vars R

o2 = | x y 0 0 |
     | 0 0 x y |

             2      4
o2 : Matrix R  <-- R

i3 : (vars R) ** R^2

o3 = | x 0 y 0 |
     | 0 x 0 y |

             2      4
o3 : Matrix R  <-- R

i4 : R = ZZ/101[t];

i5 : f = matrix {{t}}

o5 = | t |

             1      1
o5 : Matrix R  <-- R

i6 : degrees source f

o6 = {{1}}

o6 : List

i7 : degrees source (f ** R^{-3})

o7 = {{4}}

o7 : List

See also

• tensor(Module,Module) -- tensor product of modules
• tensor(Matrix,Matrix) -- tensor product