# nLab representation theory of the special unitary group

Contents

### Context

#### Representation theory

representation theory

geometric representation theory

# Contents

## Properties

### Irreps

The irreps of $SU(n)$ are those polynomial irreps of GL(n,C), hence those irreps of $SL(n,\mathbb{C})$, which are labeled by partitions/Young diagrams $\lambda \in Part(n)$ with $rows(\lambda) \leq n - 1$.

(e.g. Peluse 14, p. 14))

## References

• Shlomo Sternberg, Section 5 of: Group Theory and Physics, Cambridge University Press 1994

• Sarah Peluse, Irreducible representations of $SU(n)$ with prime power degree, Séminaire Lotharingien de Combinatoire 71 (2014), Article B71d (pdf)

Last revised on May 17, 2021 at 04:11:51. See the history of this page for a list of all contributions to it.