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

homologyLie -- computes the dimensions of the homology

Synopsis

Description

i1 : L=lieAlgebra({a,b,c,r3,r4,r42},
        {{{1,-1},{[b,c],[a,c]}},[a,b],{{1,-1},{[b,r4],[a,r4]}}},
        genWeights => {{1,0},{1,0},{2,0},{3,1},{4,1},{4,2}},
        genDiffs=>{[],[],[],{{-1},{[a,c]}},
            [a,a,c],{{1,1},{[r4],[a,r3]}}},genSigns=>{0,0,0,1,1,0})

o1 = L

o1 : LieAlgebra
i2 : homologyLie 5

o2 = | 2 1 0 0 0 |
     | 0 0 0 1 1 |
     | 0 0 0 0 0 |
     | 0 0 0 0 0 |
     | 0 0 0 0 0 |

              5        5
o2 : Matrix ZZ  <--- ZZ

See also

Ways to use homologyLie :