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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 1, Pages 79–94 (Mi jmag274)  
A complete classification of the admissible representations of infinite-dimensional\quad classical matrix groups. II

N. I. Nessonov

Kharkiv State Technical University of Agriculture
Full-text PDF (329 kB)
Abstract: The article is the second and last part of the paper, where the classes of unitary equivalence of admissible representation of infinite-dimensional groups $GL(\infty)$, $ Sp(2\infty)$, $O(2\infty)$ are exhaustively described. It contains classifications results for admissible representations for the case of symplectic and orthogonal groups.
Received: 20.04.2001
Bibliographic databases:
Document Type: Article
MSC: 46L55, 46L65, 81S05
Language: Russian
Citation: N. I. Nessonov, “A complete classification of the admissible representations of infinite-dimensional\quad classical matrix groups. II”, Mat. Fiz. Anal. Geom., 9:1 (2002), 79–94
Citation in format AMSBIB
\Bibitem{Nes02}
\by N.~I.~Nessonov
\paper A complete classification of the admissible representations of infinite-dimensional\quad classical matrix groups.~II
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 1
\pages 79--94
\mathnet{http://mi.mathnet.ru/jmag274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911075}
\zmath{https://zbmath.org/?q=an:1066.22020}
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