Symmetric Crystals for $\gl_\infty$

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 $\gl_\infty$.

39pages

References in corpus (1)

• Affine sl_p controls the representation theory of the symmetric group and related Hecke algebras