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arXiv · 0704.2817

Symmetric Crystals for $\gl_\infty$

Naoya Enomoto·Masaki Kashiwara
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Abstract

In the preceding paper, we formulated a conjecture on the relations between certain classes of irreducible representations of affine Hecke algebras of type B and symmetric crystals for $\gl_\infty$. In the present paper, we prove the existence of the symmetric crystal and the global basis for $\gl_\infty$.

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Naoya Enomoto, Masaki Kashiwara. 2007-04-21. Symmetric Crystals for $\gl_\infty$. https://arxiv.org/abs/0704.2817

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