{"abstract":[{"text":"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.","lang":"eng"}],"oa":1,"citation":{"ama":"Nessonov N, Ngo NT. Indecomposable characters of inductive limits of symmetric groups. <i>Representation Theory</i>. 2025;29(8):256-288. doi:<a href=\"https://doi.org/10.1090/ert/689\">10.1090/ert/689</a>","chicago":"Nessonov, Nikolay, and Nhok T Ngo. “Indecomposable Characters of Inductive Limits of Symmetric Groups.” <i>Representation Theory</i>. American Mathematical Society, 2025. <a href=\"https://doi.org/10.1090/ert/689\">https://doi.org/10.1090/ert/689</a>.","mla":"Nessonov, Nikolay, and Nhok T. Ngo. “Indecomposable Characters of Inductive Limits of Symmetric Groups.” <i>Representation Theory</i>, vol. 29, no. 8, American Mathematical Society, 2025, pp. 256–88, doi:<a href=\"https://doi.org/10.1090/ert/689\">10.1090/ert/689</a>.","apa":"Nessonov, N., &#38; Ngo, N. T. (2025). Indecomposable characters of inductive limits of symmetric groups. <i>Representation Theory</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/ert/689\">https://doi.org/10.1090/ert/689</a>","short":"N. Nessonov, N.T. Ngo, Representation Theory 29 (2025) 256–288.","ieee":"N. Nessonov and N. T. Ngo, “Indecomposable characters of inductive limits of symmetric groups,” <i>Representation Theory</i>, vol. 29, no. 8. American Mathematical Society, pp. 256–288, 2025.","ista":"Nessonov N, Ngo NT. 2025. Indecomposable characters of inductive limits of symmetric groups. Representation Theory. 29(8), 256–288."},"file":[{"date_updated":"2025-05-05T06:57:49Z","creator":"dernst","content_type":"application/pdf","file_name":"2025_RepresentationTheory_Nessonov.pdf","date_created":"2025-05-05T06:57:49Z","file_id":"19644","checksum":"f6541ea1736a7413c6d24f14d64a4dda","access_level":"open_access","file_size":424364,"relation":"main_file","success":1}],"intvolume":"        29","license":"https://creativecommons.org/licenses/by/3.0/","acknowledgement":"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","project":[{"name":"Geometry of the tip of the global nilpotent cone","grant_number":"P35847","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3"}],"language":[{"iso":"eng"}],"date_published":"2025-04-10T00:00:00Z","volume":29,"month":"04","page":"256-288","publication_status":"published","quality_controlled":"1","file_date_updated":"2025-05-05T06:57:49Z","has_accepted_license":"1","ddc":["510"],"day":"10","publisher":"American Mathematical Society","arxiv":1,"_id":"19621","title":"Indecomposable characters of inductive limits of symmetric groups","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","oa_version":"Published Version","article_type":"original","external_id":{"arxiv":["2206.01964"]},"corr_author":"1","date_created":"2025-04-24T08:48:05Z","date_updated":"2025-05-05T06:59:07Z","issue":"8","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"OA_place":"publisher","author":[{"first_name":"Nikolay","last_name":"Nessonov","full_name":"Nessonov, Nikolay"},{"full_name":"Ngo, Nhok T","id":"28e53c8c-896a-11ed-bdf8-f809043ce2f0","first_name":"Nhok T","last_name":"Ngo"}],"article_processing_charge":"Yes (in subscription journal)","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","short":"CC BY (3.0)"},"doi":"10.1090/ert/689","year":"2025","publication":"Representation Theory","status":"public","scopus_import":"1","OA_type":"hybrid","publication_identifier":{"issn":["1088-4165"]}}