We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra Uq(sl2(C)). We discuss two cases, according to whether the parameter q is a root of unity. We show that the universal enveloping algebra of sl2(C) embeds in a non-principal ultraproduct of Uq(sl2(C)), where q varies over the primitive roots of unity.
EXPONENTIATIONS OVER THE QUANTUM ALGEBRA Uq(sl2(C))
L'INNOCENTE, Sonia;TOFFALORI, Carlo
2013-01-01
Abstract
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra Uq(sl2(C)). We discuss two cases, according to whether the parameter q is a root of unity. We show that the universal enveloping algebra of sl2(C) embeds in a non-principal ultraproduct of Uq(sl2(C)), where q varies over the primitive roots of unity.File in questo prodotto:
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