Research output: Contribution to journal › Article › peer-review
Description of the characters and factor representations of the infinite symmetric inverse semigroup. / Vershik, A. M.; Nikitin, P. P.
In: Functional Analysis and its Applications, Vol. 45, No. 1, 01.03.2011, p. 13-24.Research output: Contribution to journal › Article › peer-review
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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