English

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

Algebraic Topology 2015-03-31 v1 Quantum Algebra Representation Theory

Abstract

We give explicit resolutions of all finite dimensional, simple Uq(sl3)U_q(\mathfrak{sl_3})-modules. We use these resolutions to categorify the colored sl3\mathfrak{sl}_3-invariant of framed links via a complex of complexes of graded Z\mathbb{Z}-modules.

Keywords

Cite

@article{arxiv.1503.08451,
  title  = {Categorification of the colored $\mathfrak{sl}_3$-invariant},
  author = {Louis-Hadrien Robert},
  journal= {arXiv preprint arXiv:1503.08451},
  year   = {2015}
}

Comments

39 pages, many figures. Comments welcome!

R2 v1 2026-06-22T09:04:56.406Z