Results 1 to 10 of about 10,909 (156)
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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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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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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Fluctuations of central measures on partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study the fluctuations of models of random partitions $(\mathbb{P}_n,ω )_n ∈\mathbb{N}$ stemming from the representation theory of the infinite symmetric group.
Pierre-Loïc Mèliot
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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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GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S=Sym( ) be the group of all permutations of an infinite set . Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length \leq n in ...
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SciPost Physics, 2023 Within the Projected Entangled Pair State (PEPS) tensor network formalism, a simple update (SU) method has been used to investigate the time evolution of a two-dimensional U(1) critical spin-1/2 spin liquid under Hamiltonian quench [Phys. Rev.
Ravi Teja Ponnaganti, Matthieu Mambrini, Didier Poilblanc
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Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990 Various questions are discussed on the subgroup structure of \(S:=Sym(\Omega)\), where \(\Omega\) is an infinite set. It is shown that S is not the union of a chain of size \(| \Omega |\) of proper subgroups, and results are obtained on the size of the smallest families of proper subgroups with set-theoretic union S.
Macpherson, H, Neumann, P
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