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Representations of the Infinite Symmetric Group
2016Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group,
Alexei Borodin, Grigori Olshanski
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Ars Comb., 2012
In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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In this work, infinite similarities of permutation groups are investigated by means of new methods. For this purpose, we handle distinct groups on the set of natural numbers and we give the separation of the subgroups of them. Afterwards, we give the matrix representation of this groups.
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Representations of Diffeomorphism Groups and the Infinite Symmetric Group
1994Unitary representations of diffeomorphism groups of manifolds are studied in connection with those of the infinite symmetric group. First we study quasi-invariant measures on the spaces of ordered configurations. Then, using them, we construct quite a big family of representations by a measurable version of the method of associated vector bundles ...
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Description of the characters and factor representations of the infinite symmetric inverse semigroup
Functional Analysis and Its Applications, 2011Vershik A M
exaly
Some remarks on the infinite symmetric groups
Mathematische Zeitschrift, 1956A Karrass, D Solitar
exaly
Classes of universal words for the infinite symmetric groups
Algebra Universalis, 1985Manfred Droste, Droste Manfred
exaly
Projective characters of the infinite generalized symmetric group
Functional Analysis and Its Applications, 2008N I Nessonov
exaly

