On the Combinatorics of the Universal Enveloping Algebra Uh(sl2)
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algebracombinatorialenvelopingformulaeuniversalcharacteristiccoefficientscombinatorics
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We study using combinatorial methods the structural coefficients of the formal homogeneous universal enveloping algebra Uh(sl2) of the special linear algebra sl2 over a field of characteristic zero. We provide explicit formulae for the product of generic elements in Uh(sl2), and construct combinatorial objects giving flesh to these formulae.
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