---
tag: VPZZ2H5GVF
kind: concept
name: Dominant
sources:
  - wikipedia: en:55799101@r1351912484
    locator: Glossary of representation theory, section D
    note: adopted
    mention: wikipedia://en/55799101#07XM
    sections: [Summary]
inventory: [NH2NKZXK87]
---

## Summary

The irreducible representations of a simply-connected compact Lie group are indexed by their highest weight. These *dominant weights* form the lattice points in an orthant in the weight lattice of the Lie group.