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Matematicheskie Zametki, 2005, Volume 78, Issue 1, Pages 140–146
DOI: https://doi.org/10.4213/mzm2568 (Mi mzm2568) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Projective Representations and Pure Pseudorepresentations of Hermitian Symmetric Simple Lie Groups

A. I. Shtern

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (180 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm2568
Abstract: It is shown that an arbitrary irreducible continuous unitary projective representation of a simple Hermitian symmetric Lie group is generated by a strongly continuous pure unitary pseudorepresentation of the adjoint group of the Lie group.
Received: 29.04.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 1, Pages 128–133
DOI: https://doi.org/10.1007/s11006-005-0106-z
Bibliographic databases:
UDC: 517.986.6
Language: Russian
Citation: A. I. Shtern, “Projective Representations and Pure Pseudorepresentations of Hermitian Symmetric Simple Lie Groups”, Mat. Zametki, 78:1 (2005), 140–146; Math. Notes, 78:1 (2005), 128–133
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm2568
  • https://doi.org/10.4213/mzm2568
  • https://www.mathnet.ru/eng/mzm/v78/i1/p140
    • This publication is cited in the following 6 articles:
    1. Shtern I A., “Continuity Conditions For Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups”, Russ. J. Math. Phys., 25:3 (2018), 345–382  crossref  mathscinet  zmath  isi  scopus
    2. A. I. Shtern, “Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture”, J. Math. Sci., 159:5 (2009), 653–751  mathnet  crossref  mathscinet  zmath  elib  elib
    3. A. I. Shtern, “Kazhdan–Milman problem for semisimple compact Lie groups”, Russian Math. Surveys, 62:1 (2007), 113–174  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. Shtern A. I., “Quasisymmetry. II”, Russ. J. Math. Phys., 14:3 (2007), 332–356  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. Shtern A. I., “Stability of the van der Waerden theorem on the continuity of homomorphisms of compact semisimple Lie groups”, Appl. Math. Comput., 187:1 (2007), 455–465  crossref  mathscinet  zmath  isi  elib  scopus
    6. A. I. Shtern, “Automatic continuity of pseudocharacters on semisimple Lie groups”, Math. Notes, 80:3 (2006), 435–441  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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