Infinite symmetric group and combinatorial descriptions of semigroups of double cosets
Representation Theory
2018-01-23 v1 Combinatorics
Group Theory
Abstract
We show that double cosets of the infinite symmetric group with respect to some special subgroups admit natural structures of semigroups. We interpret elements of such semigroups in combinatorial terms (chips, colored graphs, two-dimensional surfaces with polygonal tiling) and describe explicitly the multiplications.
Keywords
Cite
@article{arxiv.1106.1161,
title = {Infinite symmetric group and combinatorial descriptions of semigroups of double cosets},
author = {Yury A. Neretin},
journal= {arXiv preprint arXiv:1106.1161},
year = {2018}
}
Comments
39pp, 15figures