Your question is really vague, what kind of business are you talking about? Which key processes do you mean? Anyway, from what I know, the generic key processes in management are:
- HR Management: Sub processes include resource management, evaluation, training, hiring
- Procurement Management: sub-processes include contract management and vendor management
- Logistics Management
If it's an IT business for, example, then another process would be IT Management, which will include Infrastructure Management, and Development Management