Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki"
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", 1980, Volume 16, Pages 31–52 (Mi intd45)  

This article is cited in 15 scientific papers (total in 16 papers)

New “large” groups of type I

G. I. Olshanskii
Abstract: All unitary representations of certain “infinite-dimensional”, completely disconnected groups of type I are described.
English version:
Journal of Soviet Mathematics, 1982, Volume 18, Issue 1, Pages 22–39
DOI: https://doi.org/10.1007/BF01098200
Bibliographic databases:
UDC: 517.986+512.818
Language: Russian
Citation: G. I. Olshanskii, “New “large” groups of type I”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16, VINITI, Moscow, 1980, 31–52; J. Soviet Math., 18:1 (1982), 22–39
Citation in format AMSBIB
\Bibitem{Ols80}
\by G.~I.~Olshanskii
\paper New ``large'' groups of type~I
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat.
\yr 1980
\vol 16
\pages 31--52
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd45}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=611159}
\zmath{https://zbmath.org/?q=an:0484.22027|0469.22015}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 18
\issue 1
\pages 22--39
\crossref{https://doi.org/10.1007/BF01098200}
Linking options:
  • https://www.mathnet.ru/eng/intd45
  • https://www.mathnet.ru/eng/intd/v16/p31
  • This publication is cited in the following 16 articles:
    1. Yu. A. Neretin, “On the group of spheromorphisms of a homogeneous non-locally finite tree”, Izv. Math., 84:6 (2020), 1161–1191  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. A. M. Borodin, Aleksandr I. Bufetov, Aleksei I. Bufetov, A. M. Vershik, V. E. Gorin, A. I. Molev, V. F. Molchanov, R. S. Ismagilov, A. A. Kirillov, M. L. Nazarov, Yu. A. Neretin, N. I. Nessonov, A. Yu. Okounkov, L. A. Petrov, S. M. Khoroshkin, “Grigori Iosifovich Olshanski (on his 70th birthday)”, Russian Math. Surveys, 74:3 (2019), 555–577  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Yu. A. Neretin, “Infinite-dimensional pp-adic groups, semigroups of double cosets, and inner functions on Bruhat–Tits buildings”, Izv. Math., 79:3 (2015), 512–553  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Yu. A. Neretin, “Sphericity and multiplication of double cosets for infinite-dimensional classical groups”, Funct. Anal. Appl., 45:3 (2011), 225–239  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    5. Yury A. Neretin, “Multi-operator colligations and multivariate characteristic functions”, Anal.Math.Phys., 1:2-3 (2011), 121  crossref
    6. A. V. Dudko, “Tame representations of the group GL(,Fq)”, St. Petersburg Math. J., 18:2 (2007), 223–239  mathnet  crossref  mathscinet  zmath  elib
    7. Yu. A. Neretin, “Beta functions of Bruhat–Tits buildings and deformation of l2 on the set of p-adic lattices”, Sb. Math., 194:12 (2003), 1775–1805  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    8. Yu.A. Neretin, “Groups of hierarchomorphisms of trees and related Hilbert spaces”, Journal of Functional Analysis, 200:2 (2003), 505  crossref
    9. A.I Molev, G.I Olshanski, “Degenerate Affine Hecke Algebras and Centralizer Construction for the Symmetric Groups”, Journal of Algebra, 237:1 (2001), 302  crossref
    10. A. Yu. Okounkov, “On representations of the infinite symmetric group”, J. Math. Sci. (New York), 96:5 (1999), 3550–3589  mathnet  mathnet  crossref
    11. Howard Becker, Alexander S. Kechris, “Borel actions of Polish groups”, Bull. Amer. Math. Soc., 28:2 (1993), 334  crossref
    12. Nobuaki Obata, “Integral expression of some indecomposable characters of the infinite symmetric group in terms of irreducible representations”, Math. Ann., 287:1 (1990), 369  crossref
    13. Nobuaki Obata, “Some remarks on induced representations of infinite discrete groups”, Math. Ann., 284:1 (1989), 91  crossref
    14. Nobuaki Obata, “Certain unitary representations of the infinite symmetric group, II”, Nagoya Mathematical Journal, 106 (1987), 143  crossref
    15. Nobuaki Obata, “Certain Unitary Representations of the Infinite Symmetric Group, I”, Nagoya Mathematical Journal, 105 (1987), 121  crossref
    16. Hiroji NAKAGAWA, “STATE OF THE ART AND SUGGESTED APRROACH OF RESEARCH OF TURBULENT SHEAR FLOW”, Doboku Gakkai Ronbunshu, 1984:351 (1984), 29  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:554
    Full-text PDF :221
    References:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025