Quantum Z-algebras and representations of quantum affine algebras

摘要

Generalizing our earlier work, we introduce the homogeneous quantum Z-algebras for all quantum affine algebras U-q((g) over cap) 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))). [References: 31]