## Journal of Mathematics of Kyoto University

- J. Math. Kyoto Univ.
- Volume 31, Number 2 (1991), 495-541.

### Construction of irreducible unitary representations of the infinite symmetric group $\mathfrak{S}_\infty$

#### Article information

**Source**

J. Math. Kyoto Univ., Volume 31, Number 2 (1991), 495-541.

**Dates**

First available in Project Euclid: 17 August 2009

**Permanent link to this document**

https://projecteuclid.org/euclid.kjm/1250519798

**Digital Object Identifier**

doi:10.1215/kjm/1250519798

**Mathematical Reviews number (MathSciNet)**

MR1121176

**Zentralblatt MATH identifier**

0752.22001

**Subjects**

Primary: 20C32: Representations of infinite symmetric groups

Secondary: 22D10: Unitary representations of locally compact groups 22D30: Induced representations

#### Citation

Hirai, Takeshi. Construction of irreducible unitary representations of the infinite symmetric group $\mathfrak{S}_\infty$. J. Math. Kyoto Univ. 31 (1991), no. 2, 495--541. doi:10.1215/kjm/1250519798. https://projecteuclid.org/euclid.kjm/1250519798