Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 126-151
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A. M. Vershik; S. V. Kerov. The $K$-functOr (Grothndieck group) of the infinite symmetric group.. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 126-151. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a9/
@article{ZNSL_1983_123_a9,
author = {A. M. Vershik and S. V. Kerov},
title = {The $K${-functOr} {(Grothndieck} group) of the infinite symmetric group.},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {126--151},
year = {1983},
volume = {123},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a9/}
}
TY - JOUR
AU - A. M. Vershik
AU - S. V. Kerov
TI - The $K$-functOr (Grothndieck group) of the infinite symmetric group.
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 126
EP - 151
VL - 123
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a9/
LA - ru
ID - ZNSL_1983_123_a9
ER -
%0 Journal Article
%A A. M. Vershik
%A S. V. Kerov
%T The $K$-functOr (Grothndieck group) of the infinite symmetric group.
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 126-151
%V 123
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a9/
%G ru
%F ZNSL_1983_123_a9
The Grothendieck group $K_0(\sigma_\infty)$ of the group $\sigma_\infty$ of finite permutations of a countable set is described. We also discribe all semifinite characters of this group and use them to determine the cone of true $K_+^0(\sigma_\infty)$ representations.
