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Published online: 2008-09-30
Symmetric Crystals for gl∞Naoya Enomoto and Masaki Kashiwara (1) Kyoto University, Japan
(2) Kyoto University, Japan
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∞.
Keywords: Crystal bases, aﬃne Hecke algebras, LLT conjecture
Enomoto Naoya, Kashiwara Masaki: Symmetric Crystals for gl∞. Publ. Res. Inst. Math. Sci. 44 (2008), 837-891. doi: 10.2977/prims/1216238305