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GradedLieAlgebras :: decompidealLie

decompidealLie -- computes in the specified degree an ideal associated to an arrangement or matroid

Synopsis

Description

Computes the kernel in the specified degree of the Lie homomorphism from [L,L] to the direct sum of [Li,Li], where Li is the Lie subalgebra generated by the ith 2-flat in the input for the holonomy Lie algebra L of an arrangement or matroid, see localLie.

i1 : L=holonomyLie({{0,1,2},{0,3,4},{1,3,5},{2,4,5}})

o1 = L

o1 : LieAlgebra
i2 : decompidealLie 3

o2 = {[5, 4, 3], [4, 5, 3]}

o2 : List

See also

Ways to use decompidealLie :