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

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

2011-02-22

arxiv.org/abs/1102.4425v1

Mathematics

Representation Theory

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

Scientific paper

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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