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Description of the characters and factor representations of the infinite symmetric inverse semigroup. / Vershik, A. M.; Nikitin, P. P.

в: Functional Analysis and its Applications, Том 45, № 1, 01.03.2011, стр. 13-24.

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Vershik, A. M. ; Nikitin, P. P. / Description of the characters and factor representations of the infinite symmetric inverse semigroup. в: Functional Analysis and its Applications. 2011 ; Том 45, № 1. стр. 13-24.

BibTeX

@article{3641c566e26d47c3a3f9c515501e0b71,
title = "Description of the characters and factor representations of the infinite symmetric inverse semigroup",
abstract = "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 = "character, factor representation, infinite symmetric group, symmetric semigroup",
author = "Vershik, {A. M.} and Nikitin, {P. P.}",
year = "2011",
month = mar,
day = "1",
doi = "10.1007/s10688-011-0002-0",
language = "English",
volume = "45",
pages = "13--24",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Description of the characters and factor representations of the infinite symmetric inverse semigroup

AU - Vershik, A. M.

AU - Nikitin, P. P.

PY - 2011/3/1

Y1 - 2011/3/1

N2 - 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.

AB - 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.

KW - character

KW - factor representation

KW - infinite symmetric group

KW - symmetric semigroup

UR - http://www.scopus.com/inward/record.url?scp=79952810815&partnerID=8YFLogxK

U2 - 10.1007/s10688-011-0002-0

DO - 10.1007/s10688-011-0002-0

M3 - Article

AN - SCOPUS:79952810815

VL - 45

SP - 13

EP - 24

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 1

ER -

ID: 49959083