Hypercohomology of toral complexes and Langlands parametrization
type: Item
instance of: scholarly article
title: Hypercohomology of toral complexes and Langlands parametrization
zbMATH Open document ID: 0844.11036
DOI: 10.1016/S0021-8693(05)80007-9
author: Louise Nyssen
published in: Journal of Algebra
publication date: 1995-07-13T00:00:00Z
review text: Consider a morphism of tori as a complex of length two. In the course of the theory of endoscopy, Kottwitz and Shelstad expressed the (Galois-) hypercohomology of a complex of tori of length two by the hypercohomology of the character lattices. In the present paper a new proof is given which is based on cohomological considerations only and is extended to a proof of the analogous result for arbitrary bounded complexes.
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 22E55
zbMATH DE Number: 763198
zbMATH Keywords: Langlands parametrization
zbMATH Keywords: Galois hypercohomology
zbMATH Keywords: morphism of tori
zbMATH Keywords: complex of tori
reviewed by: Anton Deitmar
MaRDI profile type: Publication
cites work: Q3240881
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description: scientific article; zbMATH DE number 763198