Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 1, pp. 16-30
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A complete list of indecomposable characters of the infinite symmetric semigroup is given. In comparison with a similar list for the infinite symmetric group, only one new parameter appears, which has a clear combinatorial meaning. The results rely on the representation theory of finite symmetric semigroups and the representation theory of the infinite symmetric group.
Keywords:
symmetric semigroup, character, factor representation, infinite symmetric group.
@article{FAA_2011_45_1_a1,
author = {A. M. Vershik and P. P. Nikitin},
title = {Description of the {Characters} and {Factor} {Representations} of the {Infinite} {Symmetric} {Inverse} {Semigroup}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {16--30},
publisher = {mathdoc},
volume = {45},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2011_45_1_a1/}
}
TY - JOUR AU - A. M. Vershik AU - P. P. Nikitin TI - Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 2011 SP - 16 EP - 30 VL - 45 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_2011_45_1_a1/ LA - ru ID - FAA_2011_45_1_a1 ER -
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A. M. Vershik; P. P. Nikitin. Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 1, pp. 16-30. http://geodesic.mathdoc.fr/item/FAA_2011_45_1_a1/