Description of the characters and factor representations of the infinite symmetric inverse semigroup

Research output: Contribution to journal › Article › peer-review

Chebyshev Laboratory of Interdisciplinary Reasearch
Faculty of Mathemathics and Computer Sciences

Overview
Cite this

DOI

https://doi.org/10.1007/s10688-011-0002-0
Final published version

A. M. Vershik
P. P. Nikitin

A complete list of indecomposable characters of the infinite symmetric semigroup is given. In comparison with a similar list for the infinite symmetric group, only one new parameter appears, which has a clear combinatorial meaning. The results rely on the representation theory of finite symmetric semigroups and the representation theory of the infinite symmetric group.

Original language	English
Pages (from-to)	13-24
Number of pages	12
Journal	Functional Analysis and its Applications
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s10688-011-0002-0
State	Published - 1 Mar 2011

Scopus subject areas

Analysis
Applied Mathematics

Research areas

character, factor representation, infinite symmetric group, symmetric semigroup

ID: 49959083