The output of indexFormLie uses basis elements for the Lie algebra which are indexed variables with two indices, the first degree and a number, see mbRing and How to write Lie elements.
i1 : L = lieAlgebra( {a,b}, {}) o1 = L o1 : LieAlgebra |
i2 : b3=basisLie 3 o2 = {[a, b, a], [b, b, a]} o2 : List |
i3 : indexFormLie b3_0 o3 = mb {3, 0} o3 : QQ[mb , mb , mb , mb , mb ] {1, 0} {1, 1} {2, 0} {3, 0} {3, 1} |
i4 : defLie oo o4 = [a, b, a] o4 : Array |
i5 : indexFormLie([b,a,b]) o5 = -mb {3, 1} o5 : QQ[mb , mb , mb , mb , mb ] {1, 0} {1, 1} {2, 0} {3, 0} {3, 1} |
i6 : defLie oo o6 = {{-1}, {[b, b, a]}} o6 : List |
i7 : indexFormLie{oo,[a],[a,b]} o7 = {-mb , mb , -mb } {3, 1} {1, 0} {2, 0} o7 : List |