Quantum Z-algebras and representations of quantum affine algebras

preprint1998arXivOpen access

Generalizing our earlier work, we introduce the homogeneous quantum $Z$ -algebras for all quantum affine algebras $\alg$ of type one. With the new algebras we unite previously scattered realizations of quantum affine algebras in various cases. As a result we find a realization of $U_q(F_4^{(1)})$ .

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Quantum Z-algebras and representations of quantum affine algebras

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