The unitary character group of abelian unipotent groups

We determine the Pontrjagin dual of all K-split abelian unipotent algebraic groups G over local fields K of positive characteristic. By giving a detailed study of the structure of such groups we show that there is always an isomorphism between the group G and its dual group Ĝ.

Verfasser: Klüver, Helma C.
FB/Einrichtung:FB 10: Mathematik und Informatik
Dokumenttypen:Artikel
Medientypen:Text
Erscheinungsdatum:2008
Publikation in MIAMI:30.11.2008
Datum der letzten Änderung:15.04.2015
Quelle:Münster Journal of Mathematics, 1 (2008), S. 181-220
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-43529454211
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-43529454211
Onlinezugriff:mjm_vol_1_07.pdf

We determine the Pontrjagin dual of all K-split abelian unipotent algebraic groups G over local fields K of positive characteristic. By giving a detailed study of the structure of such groups we show that there is always an isomorphism between the group G and its dual group Ĝ.