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# Unitary Representations of Infinite Symmetric Group

Student: Irina Devyatkova

Supervisor:

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Year of Graduation: 2021

We consider the problem of describing irreducible representations of the infinite group $S(\infty)$ of all finite permutations of a countable set. In general setting this problem is unapproachable, but one can consider representations that are continuous with respect to some topologies. We fix some topology and describe all irreducible representations that are continuous with respect to this topology.

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