next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
GradedLieAlgebras :: boundariesTableLie

boundariesTableLie -- a table of dimensions of the boundaries 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.

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 : boundariesTableLie 7

o3 = | 0 0 1 3 7 17 38 |
     | 0 0 0 0 0 0  3  |
     | 0 0 0 0 0 0  0  |
     | 0 0 0 0 0 0  0  |
     | 0 0 0 0 0 0  0  |
     | 0 0 0 0 0 0  0  |
     | 0 0 0 0 0 0  0  |

              7        7
o3 : Matrix ZZ  <--- ZZ

See also