Description of the Characters and Factor Representations of Infinite Symmetric Inverse Semigroup

2011/02/22 by Anatoly Vershik, Vershik, Anatoly, Pavel Nikitin +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1102.4425

13 pp. Ref. 21; Func.Anal. and Appl. No 1, 2011

arxiv created 2011/02/22 · arxiv updated 2011/02/23

Abstract

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.

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