A characterization of indecomposable web modules over Khovanov–Kuperberg algebras - Université Clermont Auvergne
Article Dans Une Revue Algebraic and Geometric Topology Année : 2015

A characterization of indecomposable web modules over Khovanov–Kuperberg algebras

Résumé

After shortly recalling the construction of the Khovanov-Kuperberg algebras, we give a characterisation of indecomposable web-modules. It says that a web-module is indecomposable if and only if one can deduce it directly from the Kuperberg bracket (via a Schur lemma argument). The proofs relies on the construction of idempotents given by explicit foams. These foams are encoded by combinatorial data called red graphs. The key point is to show that when, for a web $w$ the Schur lemma does not apply, one can find an appropriate red graph for $w$.

Dates et versions

hal-04154090 , version 1 (06-07-2023)

Identifiants

Citer

Louis-Hadrien Robert. A characterization of indecomposable web modules over Khovanov–Kuperberg algebras. Algebraic and Geometric Topology, 2015, 15 (3), pp.1303-1362. ⟨10.2140/agt.2015.15.1303⟩. ⟨hal-04154090⟩
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