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On the string Lie algebra

We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define quasi-invariant tensors which serve to categorify the infinitesimal braiding on the category of g-modules given by an r-matrix, following Cirio-Martins.

preprint2014arXivOpen access
Salim RiviereFriedrich Wagemann
math-phmath.QAmath.MPmath.KT
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Salim RiviereFriedrich Wagemann

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