Power or Influence:
* Dominion
* Control
* Command
* Power
* Influence
* Sovereignty
* Jurisdiction
* Preeminence
* Supremacy
Expert or Source of Information:
* Expert
* Source
* Reference
* Leader
* Guide
* Guru
* Master
* Scholar
Official Permission or Right:
* Authorization
* Permission
* Sanction
* Mandate
* Legitimacy
* Credential
Specific Roles:
* Boss
* Manager
* Chief
* Officer
* Director
* Judge
To choose the best synonym, consider the specific context and the nuance you want to convey.