Geodesic
Exotic groups and quotients of loop groups
Sbornik. Mathematics, Tome 186 (1995) no. 9, pp. 1313-1323

Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of various category-theoretic properties of exotic groups. Exotic groups that are non-commutative and non-metrizable are constructed for the first time. A proof is given of a theorem on the construction of exotic groups by means of groups of continuous maps (or maps of smoothness $r\infty$) from a real complete space (respectively, a locally compact manifold) to a locally compact group (respectively, a Lie group) via factorization. It is shown that quotients of loop groups or generalized loop groups with respect to their closed normal subgroups are either commutative exotic groups, or else non-exotic groups. 
@article{SM_1995_186_9_a4,
     author = {S. V. Lyudkovskii},
     title = {Exotic groups and quotients of loop groups},
     journal = {Sbornik. Mathematics},
     pages = {1313--1323},
     publisher = {mathdoc},
     volume = {186},
     number = {9},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_9_a4/}
}
TY  - JOUR
AU  - S. V. Lyudkovskii
TI  - Exotic groups and quotients of loop groups
JO  - Sbornik. Mathematics
PY  - 1995
SP  - 1313
EP  - 1323
VL  - 186
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1995_186_9_a4/
LA  - en
ID  - SM_1995_186_9_a4
ER  - 
%0 Journal Article
%A S. V. Lyudkovskii
%T Exotic groups and quotients of loop groups
%J Sbornik. Mathematics
%D 1995
%P 1313-1323
%V 186
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1995_186_9_a4/
%G en
%F SM_1995_186_9_a4
S. V. Lyudkovskii. Exotic groups and quotients of loop groups. Sbornik. Mathematics, Tome 186 (1995) no. 9, pp. 1313-1323. http://geodesic.mathdoc.fr/item/SM_1995_186_9_a4/