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∞. In the present paper, we prove the existence of the symmetric crystal and the global basis for gl∞.
Cite this article
Naoya Enomoto, Masaki Kashiwara, Symmetric Crystals for <strong>gl</strong><sub>∞</sub>. Publ. Res. Inst. Math. Sci. 44 (2008), no. 3, pp. 837–891DOI 10.2977/PRIMS/1216238305