---
tag: PTT8BKDN8M
kind: concept
name: Admissible
sources:
  - wikipedia: en:55799101@r1351912484
    locator: Glossary of representation theory, section A
    note: adopted
    mention: wikipedia://en/55799101#DOI7
    sections: [Summary]
inventory: [KHNT11YXAJ]
---

## Summary

A representation of a real reductive group is called admissible if (1) a maximal compact subgroup *K* acts as unitary operators and (2) each irreducible representation of *K* has finite multiplicity.