A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $sl_3$-webs - Université Clermont Auvergne
Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2013

A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $sl_3$-webs

Résumé

We recall a construction of Mackaay, Pan and Tubbenhauer of the algebras $K^{\epsilon}$ which allow to understand the $sl_3$ homology for links in a local way (i.e. for tangles). Then, by studying the combinatorics of the Kuperberg bracket, we give a large family of non-elliptic webs whose associated projective $K^{\epsilon}$-modules are indecomposable.

Dates et versions

hal-04154075 , version 1 (06-07-2023)

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Citer

Louis-Hadrien Robert. A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $sl_3$-webs. Journal of Knot Theory and Its Ramifications, 2013, 22 (11), pp.1350062. ⟨10.1142/S0218216513500624⟩. ⟨hal-04154075⟩
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