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The Ladder Crystal

Abstract : In this paper, we introduce a new model of the crystal $B(\Lambda _0)$ of $\widehat{\mathfrak{sl}_{\ell}}$. We briefly describe some of the properties of this crystal and compare it to the combinatorial model of Misra and Miwa.
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Chris Berg. The Ladder Crystal. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.167-176, ⟨10.46298/dmtcs.2717⟩. ⟨hal-01185409⟩

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