Quantum Z-algebras and representations of quantum affine algebras

Abstract

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 $U_q(F_4^{(1)})$.

16 pages, AMSTEX

References in corpus (2)

• Bosonic Realizations of $U_q(C_n^{(1)})$
• New twisted quantum current algebras

Cited by in corpus (4)

• Vertex Representations for Yangians of Kac-Moody algebras
• Twisted quantum affinizations and their vertex representations
• New twisted quantum current algebras
• Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations