Functoriality Properties of the Dual Group
Friedrich KnopDepartment Mathematik, FAU Erlangen-Nürnberg, Cauerstraße 11, D-91058 Erlangen, Germany
Let be a connected reductive group. Previously, it was shown that for any -variety one can define the dual group which admits a natural homomorphism with finite kernel to the Langlands dual group of . Here, we prove that the dual group is functorial in the following sense: if there is a dominant -morphism or an injective -morphism then there is a unique homomorphism with finite kernel which is compatible with the homomorphisms to .
Cite this article
Friedrich Knop, Functoriality Properties of the Dual Group. Doc. Math. 24 (2019), pp. 47–64DOI 10.4171/DM/674