In this paper we extend the notion of UC-set to non-Abelian compact groups and prove some characterization which generalize well-known result; as a consequence we are able to prove that any compact group contains UC-sets in great profusione and that UC-sets and central UC-sets coincide. Moreover we study UC-sets over SU2, giving a concrete example and showing that the union problem has a negative answer in the non-Abelian case.

UC-sets in the dual object of compact group

GIULINI, SAVERIO
1980-01-01

Abstract

In this paper we extend the notion of UC-set to non-Abelian compact groups and prove some characterization which generalize well-known result; as a consequence we are able to prove that any compact group contains UC-sets in great profusione and that UC-sets and central UC-sets coincide. Moreover we study UC-sets over SU2, giving a concrete example and showing that the union problem has a negative answer in the non-Abelian case.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/187469
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