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GradedLieAlgebras :: dimTableLie

dimTableLie -- a table of dimensions of a Lie algebra

Synopsis

Description

The columns are referring to the degree, indexed from 1, and the rows are referring to the homological degree, indexed from 0. If the second argument s is zero (one), the dimensions of the even (odd) elements are displayed.

i1 : L=lieAlgebra({a,b,c,r3,r4},genWeights =>
          {{1,0},{1,0},{2,0},{3,1},{4,1}},
          diffl=>true,
          genSigns=>{1,1,0,0,1})

o1 = L

o1 : LieAlgebra
i2 : L=diffLieAlgebra{L.zz,L.zz,L.zz,b c - a c,a a c - 2 b b b a}

o2 = L

o2 : LieAlgebra
i3 : dimsLie 6

o3 = {2, 4, 5, 10, 23, 51}

o3 : List
i4 : dimTableLie 6

o4 = | 2 4 4 7 16 34 |
     | 0 0 1 3 7  17 |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |

              6        6
o4 : Matrix ZZ  <--- ZZ
i5 : dimTableLie(6,1)

o5 = | 2 0 4 0 16 0  |
     | 0 0 0 3 0  17 |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |
     | 0 0 0 0 0  0  |

              6        6
o5 : Matrix ZZ  <--- ZZ

See also

Ways to use dimTableLie :