JournalsprimsVol. 44, No. 3pp. 837–891

Symmetric Crystals for <strong>gl</strong><sub>∞</sub>

  • Naoya Enomoto

    Kyoto University, Japan

  • Masaki Kashiwara

    Kyoto University, Japan
Symmetric Crystals for <strong>gl</strong><sub>∞</sub> cover
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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∞. 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. 837–891

DOI 10.2977/PRIMS/1216238305