Anyonic behavior of quantum group fermionic and bosonic systems

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We discuss the role that quantum group symmetries, in particular $SU_q(2)$, play in a thermodynamic system at high temperatures. We show that the interactions introduced by the quantum group symmetries, are such that a quantum group gas describe repulsive and attractive behavior in two and three spatial dimensions.
LaTeX file, 14 pages, two figures ,uses epsf.sty. Talk given at International Conf. on Orbis Scientae 1997, 1/23-1/26, Miami, Florida. To appear in the Proceedings.

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