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Tensor product varieties and crystals. GL case

代数几何 2007-05-23 v2 组合数学 表示论

摘要

The role of Spaltenstein varieties in the tensor product for GL is explained. In particular a direct (non-combinatorial) proof of the fact that the number of irreducible components of a Spaltenstein variety is equal to a Littlewood-Richardson coefficient (i.e. certain tensor product multiplicity) is obtained.

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引用

@article{arxiv.math/0103026,
  title  = {Tensor product varieties and crystals. GL case},
  author = {Anton Malkin},
  journal= {arXiv preprint arXiv:math/0103026},
  year   = {2007}
}