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GradedLieAlgebras :: dimsLie

dimsLie -- the dimensions of the Lie algebra up to a specified degree

Synopsis

Description

i1 : L=lieAlgebra({a},genSigns=>1)/{a a}

o1 = L

o1 : LieAlgebra
i2 : M=minmodelLie 4

o2 = M

o2 : LieAlgebra
i3 : dimsLie 4

o3 = {1, 0, 0, 0}

o3 : List
i4 : useLie M

o4 = M

o4 : LieAlgebra
i5 : dimsLie 4

o5 = {1, 2, 2, 4}

o5 : List
i6 : peekLie M

o6 = gensLie => {fr , fr , fr , fr }
                   0    1    2    3
     genWeights => {{1, 0}, {2, 1}, {3, 2}, {4, 3}}
     genSigns => {1, 1, 1, 1}
     relsLie => {}
     genDiffs => {0, (fr_0 fr_0), (fr_0 fr_1), (fr_1 fr_1) + 4 (fr_0 fr_2)}
     field => QQ
     diffl => true
     compdeg => 4
     modelmap => MapLie{fr_0 => a     }
                        fr_1 => 0
                        fr_2 => 0
                        fr_3 => 0
                        sourceLie => M
                        targetLie => L

See also

Ways to use dimsLie :