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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 421, Pages 126–132 (Mi znsl5754)  
On an infinite-dimensional limit of the Steinberg representations

Yu. A. Neretinabc

a University of Vienna, Vienna, Austria
b Moscow State University, Moscow, Russia
c Institute for Theoretical and Experimental Physics, Moscow
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Abstract: We present a construction of the Steinberg representation that allows for automatically passing to an infinite-dimensional limit.
Key words and phrases: infinite-dimensional groups, Steinberg representation, classical groups over finite fields, unitary representations, reproducing kernels.
Received: 09.12.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 6, Pages 718–721
DOI: https://doi.org/10.1007/s10958-014-1963-3
Bibliographic databases:
Document Type: Article
UDC: 517.986.4
Language: English
Citation: Yu. A. Neretin, “On an infinite-dimensional limit of the Steinberg representations”, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 126–132; J. Math. Sci. (N. Y.), 200:6 (2014), 718–721
Citation in format AMSBIB
\Bibitem{Ner14}
\by Yu.~A.~Neretin
\paper On an infinite-dimensional limit of the Steinberg representations
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 421
\pages 126--132
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5754}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 6
\pages 718--721
\crossref{https://doi.org/10.1007/s10958-014-1963-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84940248587}
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