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Macaulay 2 web site
schurRank -- computes the dimension of the irreducible GL(QQ^n) representation associated to a partition
Synopsis
Usage:
schurRank(ZZ, List)
Inputs:
n
,
an
integer
, the dimension of a vector space V
mu
,
a
list
, a partition (mu_1, ..., m_r) where mu_i is the number of boxes in the ith row
Outputs:
an
integer
, The dimension of the irreducible GL(V) representation associated to mu, uses determinantal formula.
Description
i1 : schurRank(5, {4,3}) -- should be 560 o1 = 560
See also
standardTableaux
-- list all standard tableaux of a certain shape with bounded labels
Ways to use
schurRank
:
schurRank(ZZ,List)