A complete classification of the admissible representations of infinite-dimensional classical matrix groups. II
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 1, pp. 79-94
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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.
@article{JMAG_2002_9_1_a4,
author = {N. I. Nessonov},
title = {A complete classification of the admissible representations of infinite-dimensional classical matrix {groups.~II}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {79--94},
year = {2002},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a4/}
}
TY - JOUR AU - N. I. Nessonov TI - A complete classification of the admissible representations of infinite-dimensional classical matrix groups. II JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2002 SP - 79 EP - 94 VL - 9 IS - 1 UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a4/ LA - ru ID - JMAG_2002_9_1_a4 ER -
%0 Journal Article %A N. I. Nessonov %T A complete classification of the admissible representations of infinite-dimensional classical matrix groups. II %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 2002 %P 79-94 %V 9 %N 1 %U http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a4/ %G ru %F JMAG_2002_9_1_a4
N. I. Nessonov. A complete classification of the admissible representations of infinite-dimensional classical matrix groups. II. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 1, pp. 79-94. http://geodesic.mathdoc.fr/item/JMAG_2002_9_1_a4/