Categorification of the colored mathfrak{sl}₃-invariant
classification
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mathfrakcoloredinvariantmodulesresolutionscategorificationcategorifycomplex
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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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