Abstract
Abstract We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
Highlights
We fix an error on a 3-cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’
The published version of [1] contains an error that led to the wrong conclusion on a certain 3-cocycle that appears in the monoidal structure of the monodromic Hecke category
The mistake in the is that, the character sheaf L becomes trivial when restricted to T (Fq), the trivialisation cannot necessarily be made WL-equivariantly
Summary
Abstract We fix an error on a 3-cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. The published version of [1] contains an error that led to the wrong conclusion on a certain 3-cocycle that appears in the monoidal structure of the monodromic Hecke category. The mistake in the is that, the character sheaf L becomes trivial when restricted to T (Fq), the trivialisation cannot necessarily be made WL-equivariantly.
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