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Grigori Iosifovich Olshanski (Q5220241)

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scientific article; zbMATH DE number 7179203

Language	Label	Description	Also known as
English	Grigori Iosifovich Olshanski	scientific article; zbMATH DE number 7179203

Statements

scholarly article

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Grigori Iosifovich Olshanski (English)

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R. S. Ismagilov

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Andrei Okounkov

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Alexander I. Bufetov

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Alexey I. Bufetov

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Anatoly M. Vershik

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Alexander I. Molev

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Vladimir F. Molchanov

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Alexandre Kirillov

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Yuriĭ A. Neretin

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Sergey M. Khoroshkin

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Russian Mathematical Surveys

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publication date

11 March 2020

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zbMATH Keywords

birthday

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MaRDI profile type

MaRDI publication profile

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On the duality theorem of Frobenius

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Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees

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New ''large'' groups of type I

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Description of unitary representations with highest weight for groups U(p,q)

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Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series

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Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg

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Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program

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Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory

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Unitary representations of the group \(SO_ 0(\infty,\infty)\) as limits of unitary representations of the groups \(SO_ 0(n,\infty)\) as n\(\to \infty\)

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Yangians and universal enveloping algebras

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Irreducible unitary representations of the groups \(U(p,q)\) admitting passage to the limit as \(q\to \infty\)

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Twisted yangians and infinite-dimensional classical Lie algebras

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Weil representation and norms of Gaussian operators

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Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\)

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Yangians and classical Lie algebras

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Bethe subalgebras in twisted Yangians

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Shifted Jack polynomials, binomial formula, and applications

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Point processes and the infinite symmetric group.

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Centralizer construction for twisted Yangians

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Asymptotics of Plancherel measures for symmetric groups

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Degenerate affine Hecke algebras and centralizer construction for the symmetric groups

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Harmonic analysis on the infinite symmetric group

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Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes

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Markov processes on partitions

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Asymptotics of Plancherel-type random partitions

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Difference operators and determinantal point processes

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Infinite-dimensional diffusions as limits of random walks on partitions

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\(q\)-exchangeability via quasi-invariance

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The quasi-invariance property for the gamma kernel determinantal measure

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Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary

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The boundary of the Gelfand-Tsetlin graph: A new approach

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A quantization of the harmonic analysis on the infinite-dimensional unitary group

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Representations of the Infinite Symmetric Group

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The ASEP and determinantal point processes

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An analogue of the big \(q\)-Jacobi polynomials in the algebra of symmetric functions

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Stick breaking process generated by virtual permutations with Ewens distribution

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Yang-Baxter equation and representation theory. I

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Representations of $ \mathfrak{S}_\infty$ admissible with respect to Young subgroups

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Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe

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Asymptotic theory of characters of the symmetric group

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Représentations factorielles de type \(II_1\) de \(U(\infty)\)

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full work available at URL

https://doi.org/10.1070/rm9876

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5220241

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