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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 112–121 (Mi znsl6162)  
This article is cited in 2 scientific papers (total in 2 papers)

Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations

A. M. Vershikab, M. I. Graevc

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c Scientific Research Institute for System Studies of RAS, Moscow, Russia
Full-text PDF (168 kB) Citations (2)
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Abstract: We construct a special injective nonunitary bounded irreducible representation for the Iwasawa subgroup of the semisimple Lie group $U(p,p)$ with $p>1$.
Key words and phrases: Iwasawa subgroup, cocycle, special representation.
Funding agency Grant number
Russian Science Foundation 14-11-00581
Russian Foundation for Basic Research 13-01-00190-а
Received: 14.09.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 215, Issue 6, Pages 700–705
DOI: https://doi.org/10.1007/s10958-016-2875-1
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: A. M. Vershik, M. I. Graev, “Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations”, Representation theory, dynamical systems, combinatorial methods. Part XXV, Zap. Nauchn. Sem. POMI, 436, POMI, St. Petersburg, 2015, 112–121; J. Math. Sci. (N. Y.), 215:6 (2016), 700–705
Citation in format AMSBIB
\Bibitem{VerGra15}
\by A.~M.~Vershik, M.~I.~Graev
\paper Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 436
\pages 112--121
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6162}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3498188}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 215
\issue 6
\pages 700--705
\crossref{https://doi.org/10.1007/s10958-016-2875-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84966474641}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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