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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 416520, 10 pages
Research Article

A Matrix Lie Superalgebra and Its Applications

1School of Information Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China
2School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China
3School of Science, Ningbo University, Ningbo, Zhejiang 315211, China

Received 24 August 2013; Accepted 30 November 2013

Academic Editor: Xing Biao Hu

Copyright © 2013 Jingwei Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively.