Grigori Iosifovich Olshanski
From MaRDI portal
Publication:5220241
DOI10.1070/RM9876zbMath1432.01083OpenAlexW2956590263MaRDI QIDQ5220241
Leonid Petrov, R. S. Ismagilov, V. E. Gorin, N. I. Nessonov, Andrei Okounkov, Alexei Borodin, M. L. Nazarov, Alexandre Kirillov, Sergey M. Khoroshkin, Vladimir F. Molchanov, Alexander I. Bufetov, Yuriĭ A. Neretin, Anatoly M. Vershik, Alexey I. Bufetov, Alexander I. Molev
Publication date: 11 March 2020
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm9876
Cites Work
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- The boundary of the Gelfand-Tsetlin graph: A new approach
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- Harmonic analysis on the infinite symmetric group
- Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory
- Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
- Markov processes on partitions
- A quantization of the harmonic analysis on the infinite-dimensional unitary group
- Difference operators and determinantal point processes
- Infinite-dimensional diffusions as limits of random walks on partitions
- Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg
- Unitary representations of the group \(SO_ 0(\infty,\infty)\) as limits of unitary representations of the groups \(SO_ 0(n,\infty)\) as n\(\to \infty\)
- Description of unitary representations with highest weight for groups U(p,q)
- New large groups of type I
- Yang-Baxter equation and representation theory. I
- Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees
- Complex Lie semigroups, Hardy spaces and the Gel'fand-Gindikin program
- Shifted Jack polynomials, binomial formula, and applications
- Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\)
- Stick breaking process generated by virtual permutations with Ewens distribution
- Point processes and the infinite symmetric group.
- An analogue of the big \(q\)-Jacobi polynomials in the algebra of symmetric functions
- Asymptotic theory of characters of the symmetric group
- Weil representation and norms of Gaussian operators
- Bethe subalgebras in twisted Yangians
- The ASEP and determinantal point processes
- Asymptotics of Plancherel-type random partitions
- Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
- On the duality theorem of Frobenius
- Representations of the Infinite Symmetric Group
- Representations of $ \mathfrak{S}_\infty$ admissible with respect to Young subgroups
- Twisted yangians and infinite-dimensional classical Lie algebras
- Yangians and classical Lie algebras
- Asymptotics of Plancherel measures for symmetric groups
- Centralizer construction for twisted Yangians
- Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
