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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FAA_2020_54_3_a3,
     author = {N. I. Nessonov},
     title = {Characters of the {Infinite} {Symmetric} {Inverse} {Semigroup}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {38--47},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2020_54_3_a3/}
}
TY  - JOUR
AU  - N. I. Nessonov
TI  - Characters of the Infinite Symmetric Inverse Semigroup
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2020
SP  - 38
EP  - 47
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2020_54_3_a3/
LA  - ru
ID  - FAA_2020_54_3_a3
ER  - 
%0 Journal Article
%A N. I. Nessonov
%T Characters of the Infinite Symmetric Inverse Semigroup
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2020
%P 38-47
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2020_54_3_a3/
%G ru
%F FAA_2020_54_3_a3
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/