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Accelerated computation for 2D isogeometric acoustic model with ground reflection by integrating Taylor expansion and deep neural network. [PDF]

Sci Prog
Gao J, Ma H, Miao D, Yao R, Zhang Y.
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Classification of irreducible representations of the infinite symmetric group

, 2018
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Asymptotic representation theory of the infinite quantum symmetric group

, 2019
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Semigroup methods in the representation theory of the infinite symmetric group

, 2018
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Stable representations of the infinite symmetric group

Izvestiya: Mathematics, 2015
We study the notion of a stable unitary representation of a group (or a -representation of a -algebra) with respect to some group of automorphisms of the group (or algebra). In the case of the group of finitary permutations of a countable set we give a complete description, up to quasi-equivalence, of the representations which are stable with respect ...
A M Vershik, N I Nessonov
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Representations of the Infinite Symmetric Group

2016
Representation 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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On Realizations of Representations of the Infinite Symmetric Group

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characters of projective representations of the infinite generalized symmetric group

Sbornik: Mathematics, 2008
By the infinite generalized symmetric group we mean the group , where is the group of all sequences in containing only finitely many non-zero elements and is the group of all finitely supported permutations of the positive integers. A complete description of the projective factor representations of of finite type is obtained.Bibliography: 18 titles.
A V Dudko, N I Nessonov
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Factor representations of the infinite spin-symmetric group

Journal of Soviet Mathematics, 1992
See the review in Zbl 0725.20011.
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