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arXiv:1503.08451 [math.AT]AbstractReferencesReviewsResources

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

Louis-Hadrien Robert

Published 2015-03-29Version 1

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.

Comments: 39 pages, many figures. Comments welcome!
Categories: math.AT, math.QA, math.RT
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