Graded modules over classical simple Lie algebras with a grading

@article{Elduque2015GradedMO,
  title={Graded modules over classical simple Lie algebras with a grading},
  author={Alberto Elduque and Mikhail Kochetov},
  journal={Israel Journal of Mathematics},
  year={2015},
  volume={207},
  pages={229-280}
}
Given a grading by an abelian group G on a semisimple Lie algebra L over an algebraically closed field of characteristic 0, we classify up to isomorphism the simple objects in the category of finite-dimensional G-graded L-modules. The invariants appearing in this classification are computed in the case when L is simple classical (except for type D4, where a partial result is given). In particular, we obtain criteria to determine when a finite-dimensional simple L-module admits a G-grading… CONTINUE READING
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