HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00790711
Contributor : Jeremie Guilhot Connect in order to contact the contributor
Submitted on : Thursday, October 10, 2013 - 3:32:21 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:31 PM
Long-term archiving on: : Friday, April 7, 2017 - 8:55:23 AM

Files

lowest-two-sided-ideal.pdf
Files produced by the author(s)

Identifiers

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

Collections

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⟩

Share

Metrics

Record views

124

Files downloads

144