Description of the Characters and Factor Representations of Infinite Symmetric Inverse Semigroup
Anatoly M. Vershik, Pavel Pavlovich Nikitin · arXiv (Cornell University) · 2011
We give a complete list of indecomposable characters of the infinite symmetric semigroup. In comparison with the analogous list for the infinite symmetric group, one should introduce only one new parameter, which has a clear combinatorial meaning. The paper relies on the representation theory of the finite symmetric semigroups and the representation theory of the infinite symmetric group.