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Zap. Nauchn. Sem. POMI, 2017, Volume 462, Pages 65–92 (Mi znsl6497)  

This article is cited in 1 scientific paper (total in 1 paper)

Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets

Yu. A. Neretinabcd

a University of Vienna, Vienna, Austria
b Institute for Theoretical and Experimental Physics, Moscow, Russia
c Moscow State University, Moscow, Russia
d Institute for Information Transmission Problems, Moscow, Russia

Abstract: Spaces of double cosets of infinite symmetric groups with respect to some special subgroups admit natural structures of semigroups. Elements of such semigroups can be interpreted in combinatorial terms. We present a description of such constructions in a relatively wide degree of generality.

Key words and phrases: triangulations, polygonal surfaces, bipartite graphs, unitary representations, representations of categories.

Funding Agency Grant Number
Austrian Science Fund P22122
P28421
Supported by the grants FWF, P22122, P28421.


Full text: PDF file (287 kB)
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English version:
Journal of Mathematical Sciences (New York), 2018, 232:2, 138–156

UDC: 519.12+512.546.4+512.583
Received: 05.08.2017
Language:

Citation: Yu. A. Neretin, “Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets”, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 65–92; J. Math. Sci. (N. Y.), 232:2 (2018), 138–156

Citation in format AMSBIB
\Bibitem{Ner17}
\by Yu.~A.~Neretin
\paper Combinatorial encodings of infinite symmetric groups and descriptions of semigroups of double cosets
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 462
\pages 65--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6497}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 2
\pages 138--156
\crossref{https://doi.org/10.1007/s10958-018-3864-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047394682}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Pablo Gonzalez Pagotto, “A Product on Double Cosets of $B_\infty$”, SIGMA, 14 (2018), 134, 18 pp.  mathnet  crossref
  • Записки научных семинаров ПОМИ
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