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arXiv · 2608.09197

Growth in affine Hecke categories

Kevin Coulembier·Jensen O'Sullivan·Daniel Tubbenhauer
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Abstract

This paper studies the asymptotic growth of tensor powers in affine Hecke categories, or equivalently of powers of Kazhdan--Lusztig basis elements in affine Hecke algebras. We prove general bounds in arbitrary affine type, determine precise asymptotics in affine type A1, and establish corresponding results for several natural families in affine type A2.

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Kevin Coulembier, Jensen O'Sullivan, Daniel Tubbenhauer. 2026-08-10. Growth in affine Hecke categories. https://arxiv.org/abs/2608.09197

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