Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 3, pp. 282-307
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N. I. Nessonov. A complete classification of the admissible representatons of infinite-dimensional classical matrix groups. I. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 3, pp. 282-307. http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/
@article{JMAG_2001_8_3_a4,
author = {N. I. Nessonov},
title = {A complete classification of the admissible representatons of infinite-dimensional classical matrix {groups.~I}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {282--307},
year = {2001},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/}
}
TY - JOUR
AU - N. I. Nessonov
TI - A complete classification of the admissible representatons of infinite-dimensional classical matrix groups. I
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2001
SP - 282
EP - 307
VL - 8
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/
LA - ru
ID - JMAG_2001_8_3_a4
ER -
%0 Journal Article
%A N. I. Nessonov
%T A complete classification of the admissible representatons of infinite-dimensional classical matrix groups. I
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2001
%P 282-307
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2001_8_3_a4/
%G ru
%F JMAG_2001_8_3_a4
Article is first part of the paper, where the classes of unitary equivalence of admissible representation of infinite-dimensional classical groups $GL(\infty)$, $ Sp(2\infty)$, $O(2\infty)$ are exhaustively described. It contains realization of full set of admissible representations and classification of the results for group $GL(\infty)$.
