Symmetric Crystals for $\gl_\infty$

Details Symmetric Crystals for $\gl_\infty$ Symmetric Crystals for $\gl_\infty$

2007-04-21

arxiv.org/abs/0704.2817v1

Mathematics

Quantum Algebra

39pages

Scientific paper

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 $\gl_\infty$.

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