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Along with the education informatization thorough development there is no more difficulty to manage most of learning contents and deliver learning service to learners in e-learning system. Nowadays, learners desire to receive his/her own learning services and interact with ones who have same learning interest. However, the current e-learning system couldn't solve e-learning resource sharing among learners who have the same learning interest. In this paper, we propose a learning service delivery model in P2P supportive e-learning system with social network analysis. The new framework has a growing interest in raise the utilization rate of those learning resources in university, at the same time, learners who have common learning interest could ubiquitously access the learning service delivered and interact with each other via P2P communication technology. In contrast to the existing traditional solutions for e-learning service delivery, our approach is interest-centric and can be used by the provider to quickly deliver services with decrease of delivery costs.