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Traditional key management techniques, such as public key cryptography or key distribution center (e.g., Kerberos), are often not effective for wireless sensor networks for the serious limitations in terms of computational power, energy supply, network bandwidth and defection of centra authority. In order to balance the security and efficiency, we propose a new scheme by employing LU Composition techniques for mutual-authenticated pairwise key establishment and integrating LU Matrix with Elliptic Curve Diffie-Hellman for anonymous path-key establishment. At the meantime, it can achieve efficient group key agreement and management by tree-based extension of LU Matrix Composition key exchange protocol(TGLU). Theoretical analysis shows that the new scheme has better performance and provides authenticity and anonymity for sensor to establish multiple kinds of keys, compared with previous related works.