Abstract
We give the Heisenberg realization for the quantum algebra U q (sl n ), which is written by theq-difference operator on the flag manifold. We construct it from the action of U q (sl n ) on theq-symmetric algebraA q (Mat n ) by the Borel-Weil-like approach. Our realization is applicable to the construction of the free field realization for U q \((\widehat{s1_n })\) [2].
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Awata, H., Noumi, M. & Odake, S. Heisenberg realization for U q (sl n ) on the flag manifold. Lett Math Phys 30, 35–43 (1994). https://doi.org/10.1007/BF00761420
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DOI: https://doi.org/10.1007/BF00761420