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This article is cited in 9 scientific papers (total in 10 papers)
Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup
A. M. Vershik, P. P. Nikitin St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
A complete list of indecomposable characters of the infinite symmetric semigroup is given. In comparison with a similar list for the infinite symmetric group, only one new parameter appears, which has a clear combinatorial meaning. The results rely on the representation theory of finite symmetric semigroups and the representation theory of the infinite symmetric group.
Keywords:
symmetric semigroup, character, factor representation, infinite symmetric group.
Received: 11.10.2010
Citation:
A. M. Vershik, P. P. Nikitin, “Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup”, Funktsional. Anal. i Prilozhen., 45:1 (2011), 16–30; Funct. Anal. Appl., 45:1 (2011), 13–24
Linking options:
https://www.mathnet.ru/eng/faa3023https://doi.org/10.4213/faa3023 https://www.mathnet.ru/eng/faa/v45/i1/p16
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Abstract page: | 581 | Full-text PDF : | 225 | References: | 52 | First page: | 8 |
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