Heisenberg realization for Uq(sln) on the flag manifold
H. Awata, M. Noumi, S. Odake
Abstract
We give the Heisenberg realization for the quantum algebra Uq(sln), which is written by the q-difference operator on the flag manifold. We construct it from the action of Uq(sln) on the q-symmetric algebra Aq(Matn) by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the Uq(sln) [AOS].
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