Key character (character,List,ZZ) Headline Determines the character of a compostion of schur functors applied to the representation of GL(V) on V Usage character(L,d) Inputs L: List A nested list whose entries are partitions d: ZZ An integer Outputs p:RingElement A symmetric polynomial Description Text Given a list L of partitions {L1,...,Ln} computes the character of the composition of Schur functors SL1(SL2(...(SLn(V)))) applied to the canonical representation of GL(V) where dim(V)=d Example character({{1,1,1},{2}},4)--The GL(4) action on the grassmannian of 3-dimensional subspaces of quadrics in four variables SeeAlso schur