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Preprint Number 92
92. Ivo Herzog, Sonia L'Innocente The nonstandard quantum plane E-mail: E-mail: Submission date: 17 October 2007 Abstract: Consider the quantum plane associated to a field k and defined as the k-algebra
generated by the variables x and y modulo the relation yx =qxy, where the parameter q
in k is not a root of unity. We can regard the quantum plane as a module over the
quantized universal enveloping algebra U_q, related to the classical Lie algebra
sl(2,k). Mathematics Subject Classification: 03C60 Keywords and phrases: Quantum plane, quantized universal enveloping algebra, definable scalars. |

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