Exponentiations over the quantum algebra
Sonia L’Innocente, Françoise Point, Carlo Toffalori (2013)
Confluentes Mathematici
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We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra . We discuss two cases, according to whether the parameter is a root of unity. We show that the universal enveloping algebra of embeds in a non-principal ultraproduct of , where varies over the primitive roots of unity.