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arXiv · 1102.4425

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

Anatoly Vershik·Pavel Nikitin
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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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Anatoly Vershik, Pavel Nikitin. 2011-02-22. Description of the Characters and Factor Representations of Infinite Symmetric Inverse Semigroup. https://arxiv.org/abs/1102.4425

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