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Journal articles
An Iwahori-Whittaker model for the Satake category
Abstract : In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite extension of Q_l, or the ring of integers of such a field) can be described via Iwahori-Whittaker perverse sheaves on the affine Grassmannian. As an application, we confirm a conjecture of Juteau-Mautner-Williamson describing the tilting objects in the Satake category.
Cited literature [28 references]
https://hal.archives-ouvertes.fr/hal-01818403
Contributor : Simon Riche <>
Submitted on : Tuesday, June 19, 2018 - 9:42:36 AM
Last modification on : Thursday, February 25, 2021 - 10:32:02 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 9:02:41 AM
Contributor : Simon Riche <>
Submitted on : Tuesday, June 19, 2018 - 9:42:36 AM
Last modification on : Thursday, February 25, 2021 - 10:32:02 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 9:02:41 AM
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IWmodel.pdf
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