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# On the Representations of the Infinite Symmetric Group

@inproceedings{Okounkov1997OnTR, title={On the Representations of the Infinite Symmetric Group}, author={Andrei Okounkov}, year={1997} }

- Published 1997

We classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group S(∞). In particular, our methods yield two simple proofs of the classical Thoma’s description of the characters of S(∞). Also, we discuss a certain operation called mixture of representations which provides a uniform construction of all irreducible admissible representations.

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