Indecomposable characters of inductive limits of symmetric groups
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- by Nikolay Nessonov and Nhok Tkhai Shon Ngo;
- Represent. Theory 29 (2025), 256-288
- DOI: https://doi.org/10.1090/ert/689
- Published electronically: April 10, 2025
Abstract:
In this paper we obtain a complete description of all indecomposable characters (central positive-definite functions) of inductive limits of the symmetric groups under block diagonal embedding. As a corollary we obtain the full classification of the isomorphism classes of these inductive limits.References
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Bibliographic Information
- Nikolay Nessonov
- Affiliation: B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
- MR Author ID: 194962
- Email: n.nessonov@gmail.com
- Nhok Tkhai Shon Ngo
- Affiliation: Institute of Science and Technology Austria (ISTA), Am Campus 1, Klosterneuburg 3400, Austria
- ORCID: 0000-0003-4970-0262
- Email: nhoktkhaishon.ngo@ista.ac.at
- Received by editor(s): September 9, 2022
- Received by editor(s) in revised form: October 18, 2023, and September 20, 2024
- Published electronically: April 10, 2025
- Additional Notes: The authors were partially supported by the “Long-term program of support of the Ukrainian research teams at the Polish Academy of Sciences carried out in collaboration with the U.S. National Academy of Sciences with the financial support of external partners”. The second author was also supported by the Austrian Science Fund (FWF) grant “Geometry of the tip of the global nilpotent cone” no. 10.55776/P35847
- © Copyright 2025 by the authors under Creative Commons Attribution 3.0 License (CC BY 3.0)
- Journal: Represent. Theory 29 (2025), 256-288
- MSC (2020): Primary 20C32
- DOI: https://doi.org/10.1090/ert/689