Symmetric Crystals for
Naoya Enomoto
Kyoto University, JapanMasaki Kashiwara
Kyoto University, Japan
![Symmetric Crystals for $\mathfrak{gl}_∞$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-44-issue-3.png&w=3840&q=90)
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 . In the present paper, we prove the existence of the symmetric crystal and the global basis for .
Cite this article
Naoya Enomoto, Masaki Kashiwara, Symmetric Crystals for . Publ. Res. Inst. Math. Sci. 44 (2008), no. 3, pp. 837–891
DOI 10.2977/PRIMS/1216238305