Abstract
q-Supemomial coefficients are generalizations of the q-binomial coefficients. They can be defined as the coefficients of the Hall-Littlewood symmetric function in a product of the complete symmetric functions or the elementary symmetric functions. Hatayama et al give an explicit expression for these q-supemomial coefficients. A combinatorial expression as the generating function of ribbon tableaux with (co)spin statistic follows from the work of Lascoux, Leclerc and Thibon. In this paper we interpret the formulas by Hatayama et al in terms of rigged configurations and provide an explicit statistic preserving bijection between rigged configurations and ribbon tableaux, thereby establishing a new direct link between these combinatorial objects.
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Schilling, A. (2002). q-Supernomial Coefficients: From Riggings to Ribbons. In: Kashiwara, M., Miwa, T. (eds) MathPhys Odyssey 2001. Progress in Mathematical Physics, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0087-1_16
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DOI: https://doi.org/10.1007/978-1-4612-0087-1_16
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