FUNCTORIALITY PROPERTIES OF THE DUAL GROUP

Knop F (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Documenta Mathematica Universität Bielefeld, Fakultät für Mathematik

Book Volume: 24

Pages Range: 47-64

Abstract

Let G be a connected reductive group. Previously, it was shown that for any G-variety X one can define the dual group G(X)(V) which admits a natural homomorphism with finite kernel to the Langlands dual group G(V) of G. Here, we prove that the dual group is functorial in the following sense: if there is a dominant G-morphism X -> Y or an injective G-morphism Y -> X then there is a unique homomorphism with finite kernel G(X)(V) -> G(X)(V) which is compatible with the homomorphisms to G(V).

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F. (2019). FUNCTORIALITY PROPERTIES OF THE DUAL GROUP. Documenta Mathematica, 24, 47-64.

MLA:

Knop, Friedrich. "FUNCTORIALITY PROPERTIES OF THE DUAL GROUP." Documenta Mathematica 24 (2019): 47-64.

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