English

Symmetric Crystals for $\gl_\infty$

Quantum Algebra 2015-12-22 v1 Representation Theory

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\gl_\infty. In the present paper, we prove the existence of the symmetric crystal and the global basis for \gl\gl_\infty.

Keywords

Cite

@article{arxiv.0704.2817,
  title  = {Symmetric Crystals for $\gl_\infty$},
  author = {Naoya Enomoto and Masaki Kashiwara},
  journal= {arXiv preprint arXiv:0704.2817},
  year   = {2015}
}
R2 v1 2026-06-21T08:20:47.385Z