Key
character
(character,List,ZZ)
Headline
Determines the character of a composition 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