Corpus ID: 119604622

BOUNDED REDUCTIVE SUBALGEBRAS OF sln

@article{Petukhov2011BOUNDEDRS,
  title={BOUNDED REDUCTIVE SUBALGEBRAS OF sln},
  author={A. Petukhov},
  journal={arXiv: Representation Theory},
  year={2011}
}
  • A. Petukhov
  • Published 2011
  • Mathematics
  • arXiv: Representation Theory
Let g be a reductive Lie algebra and k g be a reductive in g subalge- bra. A (g;k)-module M is a g-module for which any element m 2 M is contained in a nite-dimensional k-submodule of M. We say that a (g;k)-module M is bounded if there exists a constant CM such that the Jordan{Holder multiplicities of any simple nite- dimensional k-module in every nite-dimensional k-submodule of M are bounded by CM. In the present paper we describe explicitly all reductive in sln subalgebras k which admit a… Expand
10 Citations

References

SHOWING 1-10 OF 28 REFERENCES
...
1
2
3
...