English

Heisenberg realization for U_q(sln) on the flag manifold

High Energy Physics - Theory 2009-10-22 v2

Abstract

We give the Heisenberg realization for the quantum algebra Uq(sln)U_q(sl_n), which is written by the qq-difference operator on the flag manifold. We construct it from the action of Uq(sln)U_q(sl_n) on the qq-symmetric algebra Aq(Matn)A_q(Mat_n) by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the Uq(sln^)U_q(\widehat{sl_n}) [AOS].

Keywords

Cite

@article{arxiv.hep-th/9306010,
  title  = {Heisenberg realization for U_q(sln) on the flag manifold},
  author = {H. Awata and M. Noumi and S. Odake},
  journal= {arXiv preprint arXiv:hep-th/9306010},
  year   = {2009}
}

Comments

10 pages, YITP/K-1016, plain TEX (some mistakes corrected and a reference added)