| 摘 要： | Two general families of new quantum-deformed current algebras are proposed and identified both as infinite Hopf family of algebras ,a structure which enables one to define “Tensor products“ of these algebras.The standard quantum affine algebras turn out to be a very special case of the two algebra families,in which case the infinite Hopt family structure degenerates into a standard Hopf algebra.The relationship between the two algebraic families as well as their various special examples are discussed,and the free boson representation is also considered.
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