Quantum Z-algebras and representations of quantum affine algebras

Mathematics – Quantum Algebra

Scientific paper

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16 pages, AMSTEX

Scientific paper

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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