Infinite symmetric group and combinatorial descriptions of semigroups of double cosets

Details Infinite symmetric group and combinatorial descriptions of semigroups of double cosets Infinite symmetric group and combinatorial descriptions of semigroups of double cosets

2011-06-06

arxiv.org/abs/1106.1161v1

Mathematics

Representation Theory

39pp, 15figures

Scientific paper

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.

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