[{"year":"2025","external_id":{"arxiv":["2206.01964"]},"tmp":{"name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","image":"/images/cc_by.png","short":"CC BY (3.0)"},"type":"journal_article","month":"04","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","title":"Indecomposable characters of inductive limits of symmetric groups","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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"}],"file_date_updated":"2025-05-05T06:57:49Z","publication_identifier":{"issn":["1088-4165"]},"issue":"8","doi":"10.1090/ert/689","scopus_import":"1","department":[{"_id":"GradSch"},{"_id":"TaHa"}],"_id":"19621","publication_status":"published","day":"10","ddc":["510"],"article_processing_charge":"Yes (in subscription journal)","citation":{"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.","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>.","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>","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>","ista":"Nessonov N, Ngo NT. 2025. Indecomposable characters of inductive limits of symmetric groups. Representation Theory. 29(8), 256–288.","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>.","short":"N. Nessonov, N.T. Ngo, Representation Theory 29 (2025) 256–288."},"OA_type":"hybrid","volume":29,"corr_author":"1","project":[{"grant_number":"P35847","_id":"34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3","name":"Geometry of the tip of the global nilpotent cone"}],"date_published":"2025-04-10T00:00:00Z","has_accepted_license":"1","date_created":"2025-04-24T08:48:05Z","publisher":"American Mathematical Society","language":[{"iso":"eng"}],"publication":"Representation Theory","page":"256-288","arxiv":1,"oa_version":"Published Version","article_type":"original","OA_place":"publisher","date_updated":"2025-05-05T06:59:07Z","quality_controlled":"1","intvolume":"        29","status":"public","author":[{"full_name":"Nessonov, Nikolay","first_name":"Nikolay","last_name":"Nessonov"},{"id":"28e53c8c-896a-11ed-bdf8-f809043ce2f0","full_name":"Ngo, Nhok T","first_name":"Nhok T","last_name":"Ngo"}],"oa":1,"file":[{"relation":"main_file","creator":"dernst","date_updated":"2025-05-05T06:57:49Z","success":1,"file_size":424364,"content_type":"application/pdf","access_level":"open_access","date_created":"2025-05-05T06:57:49Z","file_name":"2025_RepresentationTheory_Nessonov.pdf","checksum":"f6541ea1736a7413c6d24f14d64a4dda","file_id":"19644"}]}]