English

Proof of the Newell-Littlewood saturation conjecture

Representation Theory 2024-09-04 v1 Combinatorics

Abstract

By inventing the notion of honeycombs, A. Knutson and T. Tao proved the saturation conjecture for Littlewood-Richardson coefficients. The Newell-Littlewood numbers are a generalization of the Littlewood-Richardson coefficients. By introducing honeycombs on a M\"obius strip, we prove the saturation conjecture for Newell-Littlewood numbers posed by S. Gao, G. Orelowitz and A. Yong.

Keywords

Cite

@article{arxiv.2409.00233,
  title  = {Proof of the Newell-Littlewood saturation conjecture},
  author = {Jaewon Min},
  journal= {arXiv preprint arXiv:2409.00233},
  year   = {2024}
}

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50 pages