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

LOUIS-HADRIEN ROBERT

IRMA, 7, rue René Descartes, 67000 Strasbourg, France

https://doi.org/10.1142/S0218216513500624Cited by:5 (Source: Crossref)

Abstract

In this paper, we recall the construction from Mackaay–Pan–Tubbenhauer of the algebras K^ϵ which allow to understand the sl₃ 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 modules are indecomposable over these algebras.

Keywords:

AMSC: 57M27, 57R56, 17B37

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