CLASSIFICATION OF FINITE DIMENSIONAL MODULES OF SINGLY ATYPICAL TYPE OVER THE LIE SUPERALGEBRAS sl ( m / n )

@inproceedings{Su1999CLASSIFICATIONOF,
  title={CLASSIFICATION OF FINITE DIMENSIONAL MODULES OF SINGLY ATYPICAL TYPE OVER THE LIE SUPERALGEBRAS sl ( m / n )},
  author={Yucai Su},
  year={1999}
}
We classify the finite dimensional indecomposable sl(m/n)-modules with at least a typical or singly atypical primitive weight. We do this classification not only for weight modules, but also for generalized weight modules. We obtain that such a generalized weight module is simply a module obtained by “linking” sub-quotient modules of generalized Kac-modules. By applying our results to sl(m/1), we have in fact completely classified all finite dimensional sl(m/1)-modules. 

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