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arXiv · 1503.08451

Categorification of the colored $\mathfrak{sl}_3$-invariant

Louis-Hadrien Robert
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Abstract

We give explicit resolutions of all finite dimensional, simple $U_q(\mathfrak{sl_3})$-modules. We use these resolutions to categorify the colored $\mathfrak{sl}_3$-invariant of framed links via a complex of complexes of graded $\mathbb{Z}$-modules.

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Louis-Hadrien Robert. 2015-03-29. Categorification of the colored $\mathfrak{sl}_3$-invariant. https://arxiv.org/abs/1503.08451

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