On the Representations of the Infinite Symmetric Group

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