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dim(ZZ,ExtAlgebra) -- compute the dimension

Function: dim
Usage:

d=dim(m,E)
Inputs:
- m, an integer,
- E, an instance of the type ExtAlgebra,
Outputs:
- d, an integer, the dimension of $E$ in first degree $m$.

Description

i1 : L = lieAlgebra({a,b,c},Weights=>{{1,0},{2,1},{3,2}},
           Signs=>{1,1,1},LastWeightHomological=>true)

o1 = L

o1 : LieAlgebra

i2 : D= differentialLieAlgebra({0_L,a a,a b})

o2 = D

o2 : LieAlgebra

i3 : J=lieIdeal({b b + 4 a c})

o3 = J

o3 : FGLieIdeal

i4 : Q=D/J

o4 = Q

o4 : LieAlgebra

i5 : E=extAlgebra(5,Q)

o5 = E

o5 : ExtAlgebra

i6 : dim(4,E)

o6 = 1

See also

dims -- compute the dimensions of a Lie algebra, Ext-algebra or vector space
basis(ZZ,ExtAlgebra) -- compute a basis
dim(ZZ,LieAlgebra) -- compute the dimension
dim(ZZ,ZZ,LieAlgebra) -- compute the dimension
dim(List,LieAlgebra) -- compute the dimension
dim(ZZ,ZZ,ExtAlgebra) -- compute the dimension
dim(List,ExtAlgebra) -- compute the dimension
dim(ZZ,VectorSpace) -- compute the dimension
dim(ZZ,ZZ,VectorSpace) -- compute the dimension
dim(List,VectorSpace) -- compute the dimension

Ways to use this method:

dim(ZZ,ExtAlgebra) -- compute the dimension

The source of this document is in GradedLieAlgebras/doc2.m2:610:0.