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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 378, Pages 17–31
(Mi znsl3824)
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This article is cited in 6 scientific papers (total in 6 papers)
Indecomposable characters of the group of rational rearrangements of the segment
E. E. Goryachko, F. V. Petrov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
We present a description of all indecomposable characters of the group of rational rearrangements of the segment. We use the Vershik–Kerov approach consisting in the approximation of indecomposable characters of countable groups by indecomposable characters of finite groups. Bibl. 9 titles.
Key words and phrases:
rearrangements of the segment, indecomposable characters, periodic embeddings, Young diagrams, the Murnaghan–Nakayama rule.
Received: 29.09.2010
Citation:
E. E. Goryachko, F. V. Petrov, “Indecomposable characters of the group of rational rearrangements of the segment”, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 17–31; J. Math. Sci. (N. Y.), 174:1 (2011), 7–14
Linking options:
https://www.mathnet.ru/eng/znsl3824 https://www.mathnet.ru/eng/znsl/v378/p17
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Abstract page: | 328 | Full-text PDF : | 109 | References: | 52 |
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