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On the affine Hecke category for $SL_3$

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arxiv 2005.02647 v3 pith:NVHC346Z submitted 2020-05-06 math.RT math.CO

Nicolas Libedinsky , Leonardo Patimo This is my paper · ORCID
classification math.RTmath.CO
keywords affinecategoryheckeindecomposableassociatedbasiscalldiagrammatic
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abstract

We study the diagrammatic Hecke category associated with the affine Weyl group of type $\tilde{A}_2$. More precisely we find a (surprisingly simple) basis for the Hom spaces between indecomposable objects, that we call indecomposable double leaves.

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  1. Growth in affine Hecke categories

    math.RT 2026-08 accept novelty 7.0 of 10

    In affine Hecke categories, high tensor powers of a fixed object have a number of indecomposable summands of order n^{-|Phi^+|/2} times an exponential; proved in type A1, and for longest elements in type A2, with coar...

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