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

Jeremie Guilhot 1, *
* Corresponding author
1 Algebre
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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  • HAL Id : hal-00790711, version 2
  • ARXIV : 1302.5204

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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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