# nLab representation theory of the general linear group

Contents

### Context

#### Representation theory

representation theory

geometric representation theory

# Contents

## Properties

### Polynomial irreps

The polynomial irreps of $GL(n,\mathbb{C})$ are labeled by Young diagrams $\lambda \in Part(n)$ (e.g. Fulton 97, Thm. 2 on p. 114).

These are equivalently the irreps of the special linear group (e.g. Sternberg 94, Sec. 5.8).

And for $rows(\lambda) \leq n-1$ these are also the irreps of the special unitary group (e.g. Peluse 14, p. 2).

## References

Last revised on May 17, 2021 at 04:21:09. See the history of this page for a list of all contributions to it.