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Littlewood-Richardson semigroups

组合数学 2016-09-07 v1

摘要

This note is an extended abstract of my talk at the workshop on Representation Theory and Symmetric Functions, MSRI, April 14, 1997. We discuss the problem of finding an explicit description of the semigroup LRrLR_r of triples of partitions of length r\leq r such that the corresponding Littlewood-Richardson coefficient is non-zero. After discussing the history of the problem and previously known results, we suggest a new approach based on the ``polyhedral'' combinatorial expressions for the Littlewood-Richardson coefficients.

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引用

@article{arxiv.math/9704228,
  title  = {Littlewood-Richardson semigroups},
  author = {Andrei Zelevinsky},
  journal= {arXiv preprint arXiv:math/9704228},
  year   = {2016}
}