q-Deformed Fock spaces and modular representations of spin symmetric groups

B. Leclerc; J. -Y. Thibon

doi:10.1088/0305-4470/30/17/023

q-Deformed Fock spaces and modular representations of spin symmetric groups

q-alg 2009-10-30 v3 Quantum Algebra

Authors: B. Leclerc , J. -Y. Thibon

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Abstract

We use the Fock space representation of the quantum affine algebra of type $A^{(2)}_{2n}$ to obtain a description of the global crystal basis of its basic level 1 module. We formulate a conjecture relating this basis to decomposition matrices of spin symmetric groups in characteristic $2n+1$ .

Keywords

Fock space quantum affine algebra global crystal basis spin symmetric groups modular representations

Cite

@article{arxiv.q-alg/9702001,
  title  = {q-Deformed Fock spaces and modular representations of spin symmetric groups},
  author = {B. Leclerc and J. -Y. Thibon},
  journal= {arXiv preprint arXiv:q-alg/9702001},
  year   = {2009}
}

Comments

18 pages, Latex, epsf and iop macros (ioplppt.sty). Revised version, to appear in J. Phys. A. Some typos corrected, and some comments added in the introduction

q-Deformed Fock spaces and modular representations of spin symmetric groups

Abstract

Keywords

Cite

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