# Cellularity of the lowest two-sided ideal of an affine Hecke algebra

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LMPT - Laboratoire de Mathématiques et Physique Théorique
Abstract : In this paper we show that the lowest two-sided ideal of an affine Hecke algebra is affine cellular for all choices of parameters. We explicitely describe the cellular basis and we show that the basis elements have a nice decomposition when expressed in the Kazhdan-Lusztig basis. In type $A$ we provide a combinatorial description of this decomposition in term of number of paths.
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Cited literature [16 references]

https://hal.archives-ouvertes.fr/hal-00790711
Contributor : Jeremie Guilhot <>
Submitted on : Thursday, October 10, 2013 - 3:32:21 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Friday, April 7, 2017 - 8:55:23 AM

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• HAL Id : hal-00790711, version 2
• ARXIV : 1302.5204

### Citation

Jeremie Guilhot. Cellularity of the lowest two-sided ideal of an affine Hecke algebra. Advances in Mathematics, Elsevier, 2014, 255, pp.525-561. ⟨hal-00790711v2⟩

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