Knop F (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 24
Pages Range: 47-64
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).
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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