Combinatorial Encodings of Infinite Symmetric Groups and Descriptions of Semigroups of Double Cosets
- Authors: Neretin Y.A.1,2,3,4
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Affiliations:
- University of Vienna
- Institute for Theoretical and Experimental Physics
- Moscow State University
- Institute for Information Transmission Problems
- Issue: Vol 232, No 2 (2018)
- Pages: 138-156
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241278
- DOI: https://doi.org/10.1007/s10958-018-3864-3
- ID: 241278
Cite item
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.
About the authors
Yu. A. Neretin
University of Vienna; Institute for Theoretical and Experimental Physics; Moscow State University; Institute for Information Transmission Problems
Author for correspondence.
Email: yurii.neretin@univie.ac.at
Austria, Vienna; Moscow; Moscow; Moscow