Séminaire Lotharingien de Combinatoire, 86B.18 (2022), 12 pp.
Shiliang Gao, Gidon Orelowitz, Nicolas Ressayre and Alexander Yong
Combinatorics of Newell-Littlewood Numbers
Abstract.
We give an exposition of recent developments in the study of Newell-Littlewood numbers. These
are the tensor product multiplicities of Weyl modules in the stable range. They are also the structure coefficients
of the Koike-Terada basis of the ring of symmetric functions. Two types of combinatorial results are exhibited, those obtained combinatorially starting from the definition of the numbers, and those that also employ geometric and/or representation theoretic methods.
Received: November 25, 2021.
Accepted: March 4, 2022.
Final version: April 1, 2022.
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