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

dimLie -- the dimension of a Lie algebra

Synopsis

Description

i1 : L=lieAlgebra({a,b,c},{[c,c,b]},genWeights=>{{2,1},{1,0},{1,0}},
         genDiffs=>{[b,c],[],[]},genSigns=>{1,0,0})

o1 = L

o1 : LieAlgebra
i2 : dimTableLie 4

o2 = | 2 1 1 1 |
     | 0 1 2 4 |
     | 0 0 0 1 |
     | 0 0 0 0 |
     | 0 0 0 0 |

              5        4
o2 : Matrix ZZ  <--- ZZ
i3 : dimLie 4

o3 = 6
i4 : dimLie(4,0)

o4 = 1
i5 : dimLie(4,1)

o5 = 4
i6 : dimLie({4,2})

o6 = 1

See also

Ways to use dimLie :