Results 1 to 10 of about 1,680 (247)

On different models of representations of the infinite symmetric group

open access: yesAdvances in Applied Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Natalia V. Tsilevich, Anatoly M. Vershik
exaly   +4 more sources

Separable representations for automorphism groups of infinite symmetric spaces

open access: yesJournal of Functional Analysis, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doug Pickrell
exaly   +4 more sources

Centralizers of the infinite symmetric group [PDF]

open access: yesDiscrete 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
doaj   +2 more sources

A Remark on Representations of Infinite Symmetric Groups [PDF]

open access: yesJournal of Mathematical Sciences, 2013
We simplify construction of Thoma representations of an infinite symmetric ...
Yu A Neretin, Neretin Yu A
exaly   +3 more sources

On representations of the infinite symmetric group

open access: yesJournal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Deligne categories and representations of the infinite symmetric group [PDF]

open access: yesAdvances in Mathematics, 2019
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
exaly   +3 more sources

Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group [PDF]

open access: yesTheory of Probability and Its Applications, 2007
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
exaly   +3 more sources

Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations

open access: yesMathematische Annalen, 1990
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 ...
exaly   +2 more sources

Compact Lie Groups, Generalised Euler Angles, and Applications

open access: yesUniverse, 2022
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
doaj   +1 more source

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