A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of $s{l}_3$-webs

Abstract

We recall a construction of Mackaay, Pan and Tubbenhauer of the algebras $K^{\epsilon }$ which allow to understand the $s{l}_3$ 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.

Minor changes, 21 pages, 24 figures