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Funktsional'nyi Analiz i ego Prilozheniya, 2020, Volume 54, Issue 3, Pages 38–47
DOI: https://doi.org/10.4213/faa3745 (Mi faa3745) 		 
Characters of the Infinite Symmetric Inverse Semigroup

N. I. Nessonov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov, Ukraine
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DOI: https://doi.org/10.4213/faa3745
Abstract: A complete description of indecomposable characters of the infinite symmetric inverse semigroup is given. The method essentially uses the decomposition of the elements of this semigroup into a product of independent quasi-cycles and the multiplicativity theorem. Realizations of all factor representations of finite type are constructed.
Keywords: factor representation, character, inverse symmetric semigroup, multiplicativity.
Received: 09.12.2019
Revised: 09.02.2020
Accepted: 02.03.2020
English version:
Functional Analysis and Its Applications, 2020, Volume 54, Issue 3, Pages 179–187
DOI: https://doi.org/10.1134/S001626632003003X
Bibliographic databases:
Document Type: Article
UDC: 519.17+519.21
MSC: 20C32
Language: Russian
Citation: N. I. Nessonov, “Characters of the Infinite Symmetric Inverse Semigroup”, Funktsional. Anal. i Prilozhen., 54:3 (2020), 38–47; Funct. Anal. Appl., 54:3 (2020), 179–187
Citation in format AMSBIB
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\pages 38--47
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\jour Funct. Anal. Appl.
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\issue 3
\pages 179--187
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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