Heisenberg realization for U_q(sln) on the flag manifold
arXiv:hep-th/9306010 · doi:10.1007/BF00761420
Abstract
We give the Heisenberg realization for the quantum algebra $U_q(sl_n)$, which is written by the $q$-difference operator on the flag manifold. We construct it from the action of $U_q(sl_n)$ on the $q$-symmetric algebra $A_q(Mat_n)$ by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the $U_q(\widehat{sl_n})$ [AOS].
10 pages, YITP/K-1016, plain TEX (some mistakes corrected and a reference added)