An integral form of the quantized enveloping algebra of sl_2 and its completions
Quantum Algebra
2007-05-23 v1
Abstract
We introduce an integral form U of the quantized enveloping algebra of sl_2. The algebra U is just large enough so that the quasi-R-matrix is contained in a completion of U\otimes 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 sl_2 invariants of links and integral homology spheres.
Keywords
Cite
@article{arxiv.math/0605313,
title = {An integral form of the quantized enveloping algebra of sl_2 and its completions},
author = {Kazuo Habiro},
journal= {arXiv preprint arXiv:math/0605313},
year = {2007}
}
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31 pages