---
OA_place: publisher
OA_type: hybrid
_id: '19621'
abstract:
- lang: eng
  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.
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
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Nikolay
  full_name: Nessonov, Nikolay
  last_name: Nessonov
- first_name: Nhok T
  full_name: Ngo, Nhok T
  id: 28e53c8c-896a-11ed-bdf8-f809043ce2f0
  last_name: Ngo
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>
  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>
  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>.
  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.
  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.
corr_author: '1'
date_created: 2025-04-24T08:48:05Z
date_published: 2025-04-10T00:00:00Z
date_updated: 2025-05-05T06:59:07Z
day: '10'
ddc:
- '510'
department:
- _id: GradSch
- _id: TaHa
doi: 10.1090/ert/689
external_id:
  arxiv:
  - '2206.01964'
file:
- access_level: open_access
  checksum: f6541ea1736a7413c6d24f14d64a4dda
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  creator: dernst
  date_created: 2025-05-05T06:57:49Z
  date_updated: 2025-05-05T06:57:49Z
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  file_name: 2025_RepresentationTheory_Nessonov.pdf
  file_size: 424364
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has_accepted_license: '1'
intvolume: '        29'
issue: '8'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '04'
oa: 1
oa_version: Published Version
page: 256-288
project:
- _id: 34b2c9cb-11ca-11ed-8bc3-a50ba74ca4a3
  grant_number: P35847
  name: Geometry of the tip of the global nilpotent cone
publication: Representation Theory
publication_identifier:
  issn:
  - 1088-4165
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Indecomposable characters of inductive limits of symmetric groups
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2025'
...