# schurRank -- computes the dimension of the irreducible GL(QQ^n) representation associated to a partition

## Synopsis

• Usage:
schurRank(n, mu)
• Inputs:
• n, an integer, the size of the matrix group GL(QQ^n)
• 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(QQ^n) representation associated to mu

## Description

The dimension is computed using the determinantal formula given by the Weyl character formula.
 i1 : schurRank(5, {4,3}) -- should be 560 o1 = 560