An integral form of the quantized enveloping algebra of sl2 and its completions
Abstract
We introduce an integral form U of the quantized enveloping algebra of sl2. The algebra U is just large enough so that the quasi-R-matrix is contained in a completion of U U. We study several completions of the algebra U, and determine their centers. This study is motivated by a study of integrality properties of the quantum sl2 invariants of links and integral homology spheres.
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