Realization of ω∞-algebras and Uq(sl(2)) in terms of generalized Clifford algebras

We consider the generalized Clifford algebras (GCA) and an infinite set of their subalgebras. We obtain the realization of some infinite-dimensional Lie algebras. More precisely, we show that the quantum tori Lie algebra and Witt algebra, its high spin extension ω∞-algebra, and quantum enveloping algebra Uq(sl(2)) can be realized in terms of generators of generalized Clifford algebras. We also discuss the connection between gl(N, C) and GCA.