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A Study of the representations supported by the orbit closure of the determinant

Representation Theory 2019-02-20 v2 Algebraic Geometry

Abstract

We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated `Latin Square Conjecture' due to Alon-Tarsi or more precisely on the validity of an equivalent `column Latin Square Conjecture' due to Huang-Rota.

Keywords

Cite

@article{arxiv.1109.5996,
  title  = {A Study of the representations supported by the orbit closure of the determinant},
  author = {Shrawan Kumar},
  journal= {arXiv preprint arXiv:1109.5996},
  year   = {2019}
}

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23 pages