InvertDecompositionMatrix(d)
Returns the inverse of the (e--regular part of) d, where d is a
decomposition matrix, or crystallized decomposition matrix, of a Hecke
algebra or q--Schur algebra. If part of the decomposition matrix d
is unknown then InvertDecompositionMatrix
will invert as much of d
as possible.
gap> H:=Specht(4);; d:=CrystalDecompositionMatrix(H,5);; gap> InvertDecompositionMatrix(d); 5
|
1 4,1
|
. 1 3,2
|
-v . 1 3,1^2
|
. . . 1 2^2,1
|
v^2 . -v . 1 2,1^3
|
. . . . . 1
See also DecompositionMatrix
DecompositionMatrix, and
CrystalDecompositionMatrix
CrystalDecompositionMatrix. This
function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4