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This is a collection of open problems in the theory of quantum groups. Emphasis is given to problems in the analytic aspects of the subject.
This paper investigates the productivity of the Zariski topology of a group . If is a family of groups, and is their direct product, we prove that . This inclusion can be proper in general, and we describe the doubletons of abelian groups, for which the converse inclusion holds as well, i.e., . If is the identity element of a group , we also describe the class of groups such that is an elementary algebraic subset of for every group . We show among others, that is stable...
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