I work in a corporate environment and come from a Mathematics background. We develop products for customers and my job is to come up with mathematically sound algorithms to develop solutions. I have a person in my team who has practically got no tasks because skills are not relevant or not enough. No idea why that person is a part of the project (manager's decision).
I feel like someone who has little ability to contribute is just being there and being a leader. Many times talking in meetings and wasting time as the person lacks depth so brings in points that have little relevance. Considering not everyone in the team is a technical person, they are not capable of seeing through this.
I feel annoyed. I have a feeling like being exploited in this case - is this feeling correct or I am being unprofessional here? Am I going against team spirit? I feel like I am better equipped to be the owning this work. If not, how to respond to this situation?