A. Yu. Okounkov, “Thoma's Theorem and Representations of the Infinite Bisymmetric Group”, Funktsional. Anal. i Prilozhen., 28:2 (1994), 31–40; Funct. Anal. Appl., 28:2 (1994), 100

Citation in format AMSBIB

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\by A.~Yu.~Okounkov

\paper Thoma's Theorem and Representations of the Infinite Bisymmetric Group

\jour Funktsional. Anal. i Prilozhen.

\yr 1994

\vol 28

\issue 2

\pages 31--40

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\transl

\jour Funct. Anal. Appl.

\yr 1994

\vol 28

\issue 2

\pages 100--107

\crossref{https://doi.org/10.1007/BF01076496}

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This publication is cited in the following 34 articles:

A. M. Vershik, “Kommentarii k rabote E. Toma “Kharaktery schetnoi beskonechnoi simmetricheskoi gruppy” i alternativnaya formulirovka problemy”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXV, Zap. nauchn. sem. POMI, 528, POMI, SPb., 2023, 37–46
Alexander Belton, Dominique Guillot, Apoorva Khare, Mihai Putinar, “Hirschman–Widder densities”, Applied and Computational Harmonic Analysis, 60 (2022), 396
A. M. Vershik, N. V. Tsilevich, “The Schur–Weyl graph and Thoma's theorem.”, Funct. Anal. Appl., 55:3 (2021), 198–209
N. I. Nessonov, “Characters of the Infinite Symmetric Inverse Semigroup”, Funct. Anal. Appl., 54:3 (2020), 179–187
Matveev K., “Macdonald-Positive Specializations of the Algebra of Symmetric Functions: Proof of the Kerov Conjecture”, Ann. Math., 189:1 (2019), 277–316
A. M. Vershik, “Three Theorems on the Uniqueness of the Plancherel Measure from Different Viewpoints”, Proc. Steklov Inst. Math., 305 (2019), 63–77
Pablo Gonzalez Pagotto, “A Product on Double Cosets of $B_\infty$ ”, SIGMA, 14 (2018), 134, 18 pp.
J. Math. Sci. (N. Y.), 232:2 (2018), 138–156
Yu. A. Neretin, “Infinite symmetric groups and combinatorial constructions of topological field theory type”, Russian Math. Surveys, 70:4 (2015), 715–773
A. M. Vershik, N. I. Nessonov, “Stable representations of the infinite symmetric group”, Izv. Math., 79:6 (2015), 1184–1214
Gorin V. Kerov S. Vershik A., “Finite Traces and Representations of the Group of Infinite Matrices Over a Finite Field”, Adv. Math., 254 (2014), 331–395
N. I. Nessonov, “KMS States on $\mathfrak{S}_\infty$ Invariant with Respect to the Young Subgroups”, Funct. Anal. Appl., 47:2 (2013), 127–137
Alexander Gnedin, Vadim Gorin, Sergei Kerov, “Block characters of the symmetric groups”, J Algebr Comb, 38:1 (2013), 79
N. I. Nessonov, “Representations of $\mathfrak{S}_\infty$ admissible with respect to Young subgroups”, Sb. Math., 203:3 (2012), 424–458
Neretin Yu., “Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories”, Int Math Res Not, 2012, no. 3, 501–523
N. I. Nessonov, “On realizations of representations of the infinite symmetric group”, J. Math. Sci. (N. Y.), 190:3 (2013), 468–471
Vershik A.M., Nessonov N.I., “Stabilnye sostoyaniya i predstavleniya beskonechnoi simmetricheskoi gruppy”, Doklady Akademii nauk, 445:1 (2012), 9–9
Yu. Neretin, “Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories”, International Mathematics Research Notices, 2012:3 (2012), 501
A. M. Vershik, N. I. Nessonov, “Stable states and representations of the infinite symmetric group”, Dokl. Math., 86:1 (2012), 450
Vadim Gorin, “The q-Gelfand–Tsetlin graph, Gibbs measures and q-Toeplitz matrices”, Advances in Mathematics, 229:1 (2012), 201