IX: Irreducible Polynomial Representations of GL(m)
Channel: Amritanshu Prasad
Date: 05/04/2012

Scanned notes are at: http://www.imsc.res.in/~amri/rt11/characteristic.pdf

In this lecture it is shown that the irreducible polynomial representations of GL(m) homogeneous of degree n correspond to representations of the symmetric group indexed by partitions with at most m parts. The characteristic of each irreducible is shown to be the corresponding Schur function.