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

- 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

## See also

- standardTableaux -- list all standard tableaux of a certain shape with bounded labels

## Ways to use schurRank:

- `schurRank(ZZ,List)`

## For the programmer

The object schurRank is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/PieriMaps.m2:597:0.