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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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A Remark on Representations of Infinite Symmetric Groups [PDF]
Journal of Mathematical Sciences, 2013 We simplify construction of Thoma representations of an infinite symmetric ...
Yury Neretin, Neretin Yu A
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On representations of the infinite symmetric group
Journal of Mathematical Sciences, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second cohomology groups and finite covers of infinite symmetric groups
Journal of Algebra, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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Twistor formulation of massless 6D infinite spin fields
Nuclear Physics B, 2021 We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields.
I.L. Buchbinder +2 more
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The cofinality spectrum of the infinite symmetric group [PDF]
Journal of Symbolic Logic, 1997 AbstractLetSbe the group of all permutations of the set of natural numbers. The cofinality spectrumCF(S)ofSis the set of all regular cardinalsλsuch thatScan be expressed as the union of a chain ofλproper subgroups. This paper investigates which setsCof regular uncountable cardinals can be the cofinality spectrum ofS.
Saharon Shelah, Simon Thomas 0001
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On Generating Sets of Infinite Symmetric Group
Journal of Mathematical Sciences, 2023 It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
Semenov, A. V., Denisova, A. D.
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Point processes and the infinite symmetric group [PDF]
Mathematical Research Letters, 1998 This paper gives a short overview of the main results obtained in five preprints of the authors with the same title [\textit{G. Olshanski}, part I, http://arXiv.org/abs/math/9804086; \textit{A. Borodin}, part II, http://arXiv.org/abs/math/9804087; \textit{A. Borodin} and \textit{G.
Borodin, Alexei, Olshanski, Grigori
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When are the natural embeddings of classical invariant rings pure?
Forum of Mathematics, Sigma, 2023 Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster +3 more
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