Geodesic
Characters of the Infinite Symmetric Inverse Semigroup
Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 3, pp. 38-47.

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A complete description of indecomposable characters of the infinite symmetric inverse semigroup is given. The method essentially uses the decomposition of the elements of this semigroup into a product of independent quasi-cycles and the multiplicativity theorem. Realizations of all factor representations of finite type are constructed.
Keywords: factor representation, character, inverse symmetric semigroup, multiplicativity. 
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N. I. Nessonov. Characters of the Infinite Symmetric Inverse Semigroup. Funkcionalʹnyj analiz i ego priloženiâ, Tome 54 (2020) no. 3, pp. 38-47. http://geodesic.mathdoc.fr/item/FAA_2020_54_3_a3/

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