Extension of Characters from the Radical of a Connected Lie Group to a One-Dimensional Pure Pseudorepresentation of the Group Revisited, Shtern A.Iстатья
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Дата последнего поиска статьи во внешних источниках: 10 апреля 2024 г.
Аннотация:Investigations concerning the extension of characters on normal subgroups to one-dimensional pure pseudorepresentations of the enveloping groups are continued. We prove necessary andsufficient conditions that an ordinary unitary character on the radical of a connected Lie group admitsan extension to a one-dimensional pure pseudorepresentation of the group and prove the uniqueness ofthis pure pseudorepresentation if it exists.