Heisenberg realization for U_q(sln) on the flag manifold

Details Heisenberg realization for U_q(sln) on the flag manifold Heisenberg realization for U_q(sln) on the flag manifold

1993-06-02

arxiv.org/abs/hep-th/9306010v2

Lett.Math.Phys. 30 (1993) 35-44

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF00761420

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].

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