listMultiply -- multiplication of lists

Synopsis

• Usage:

  m=listMultiply(x,y)

• Inputs:
  • x, a list,
  • y, a list, $x$ and $y$ are lists of Lie elements from the same Lie algebra or lists of Ext-elements from the same Ext-algebra
• Outputs:
  • m, a list, of lists

Description

i1 : K=lieAlgebra({a,b,c},Signs=>1)/{a a,b b- 2 c a}

o1 = K

o1 : LieAlgebra

i2 : E=extAlgebra(3,K)

o2 = E

o2 : ExtAlgebra

i3 : dims(3,E)

o3 = | 3 0 0 |
     | 0 2 0 |
     | 0 0 1 |

              3       3
o3 : Matrix ZZ  <-- ZZ

i4 : listMultiply(basis(1,E),basis(2,E))

o4 = {{0, ext_5}, {0, 0}, {0, 0}}

o4 : List

i5 : basis(2,K)

o5 = {(b a), (c a), (c b), (c c)}

o5 : List

i6 : listMultiply(basis(1,K),oo)

o6 = {{0, 0,  - (c b a),  - 2 (c c a)}, {0, 0,  - (c c a),  - 2 (c c b)}, {(c
     ------------------------------------------------------------------------
     b a), (c c a), (c c b), 0}}

o6 : List

See also

• LieElement LieElement -- multiplication of Lie elements
• ExtElement ExtElement -- multiplication of Ext-algebra elements