Newell-Littlewood numbers

نویسندگان

چکیده

The Newell-Littlewood numbers are defined in terms of their celebrated cousins, the Littlewood-Richardson coefficients. Both arise as tensor product multiplicities for a classical Lie group. They structure coefficients K. Koike-I. Terada basis ring symmetric functions. Recent work H. Hahn studies them, motivated by R. Langlands’ beyond endoscopy proposal; we address her with simple characterization detection Weyl modules. This motivates further study combinatorics numbers. We consider analogues ideas J. De Loera-T. McAllister, Derksen-J. Weyman, S. Fomin–W. Fulton-C.-K. Li–Y.-T. Poon, W. Fulton, King-C. Tollu-F. Toumazet, M. Kleber, A. Klyachko, Knutson-T. Tao, T. Lam-A. Postnikov-P. Pylyavskyy, Mulmuley-H. Narayanan-M. Sohoni, Narayanan, Okounkov, Stembridge, and Weyl.

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2021

ISSN: ['2330-0000']

DOI: https://doi.org/10.1090/tran/8375