$q$-Virasoro Operators from $q$-Noether Currents

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We discuss the $q$-Virasoro algebra based on the arguments of the Noether currents in a two-dimensional massless fermion theory as well as in a three-dimensional nonrelativistic one. Some notes on the $q$-differential operator realization and the central extension are also included.
revised and extended version of HUPD-9201, a wrong statement of HUPD-9204 is corrected, to be published in Z. Phys. C

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