Results 1 to 10 of about 1,680 (247)
On different models of representations of the infinite symmetric group
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Natalia V. Tsilevich, Anatoly M. Vershik
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Separable representations for automorphism groups of infinite symmetric spaces
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Doug Pickrell
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Centralizers of the infinite symmetric group [PDF]
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]
We simplify construction of Thoma representations of an infinite symmetric ...
Yu A Neretin, Neretin Yu A
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On representations of the infinite symmetric group
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Deligne categories and representations of the infinite symmetric group [PDF]
We establish a connection between two settings of representation stability for the symmetric groups $S_n$ over $\mathbb{C}$. One is the symmetric monoidal category ${\rm Rep}(S_{\infty})$ of algebraic representations of the infinite symmetric group $S_{\infty} = \bigcup_n S_n$, related to the theory of ${\bf FI}$-modules.
Inna Entova-Aizenbud +1 more
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Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group [PDF]
We show that the class of inductive limits of the representations of finite symmetric groups with simple spectrum coinsides with the class of Markov representations of the infinite symmetric group associated with Markov measures on the space of infinite Young tableaux.
N V Tsilevich
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Let \({\mathfrak S}_{\infty}\) be the infinite symmetric group and \({\mathfrak E}({\mathfrak S}_{\infty})\) the set of all indecomposable characters of \({\mathfrak S}_{\infty}\). E. Thoma established a one-to-one correspondence between \({\mathfrak E}({\mathfrak S}_{\infty})\) and the space \({\mathfrak Q}\) of sequences \(q=(q_ i)^{+\infty}_{i ...
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Induced representations of the infinite symmetric group and their spectral theory [PDF]
N V Tsilevich +2 more
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Compact Lie Groups, Generalised Euler Angles, and Applications
This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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