English

Demazure Modules and Perfect Crystals

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

We give a criterion for the Demazure crystal Bw(λ)B_w(\lambda) defined by Kashiwara to have a tensor product structure. We study the \sln\sln symmetric tensor case, and see some Demazure characters are expressed using Kostka-Foulkes polynomials.

Keywords

Cite

@article{arxiv.q-alg/9607011,
  title  = {Demazure Modules and Perfect Crystals},
  author = {Atsuo Kuniba and Kailash C. Misra and Masato Okado and Jun Uchiyama},
  journal= {arXiv preprint arXiv:q-alg/9607011},
  year   = {2008}
}

Comments

16 pages, LaTeX