A LARGE FAMILY OF INDECOMPOSABLE PROJECTIVE MODULES FOR THE KHOVANOV–KUPERBERG ALGEBRAS OF sl3-WEBS

DOI10.1142/S0218216513500624zbMath1286.57009arXiv1207.6287MaRDI QIDQ2872783

Louis-Hadrien Robert

Publication date: 15 January 2014

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6287

zbMATH Keywords

indecomposable projective modulescategorificationKhovanov homologyKuperberg bracket\(0+1+1\)-TQFT\(sl_{3}\) homology

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (6)

Grothendieck groups of the Khovanov–Kuperberg algebras ⋮ Webs on surfaces, rings of invariants, and clusters ⋮ The Blanchet-Khovanov algebras ⋮ \(\mathfrak{sl}_3\)-web bases, intermediate crystal bases and categorification ⋮ 𝔤𝔩n-webs, categorification and Khovanov–Rozansky homologies ⋮ A characterization of indecomposable web modules over Khovanov-Kuperberg algebras

Cites Work

• A functor-valued invariant of tangles
• A new invariant of plane bipartite cubic graphs
• \(\text{sl}(3)\) link homology
• Topological quantum field theories derived from the Kauffman bracket
• Spiders for rank 2 Lie algebras
• ON KHOVANOV'S COBORDISM THEORY FOR $\mathfrak{su}_3$ KNOT HOMOLOGY

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