Abstract
We introduce an integral form U of the quantized enveloping algebra of s l 2 . The algebra U is exactly 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 s l 2 invariants of links and integral homology spheres.
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