Geodesic
On combinatorial analogs of the group of diffeomorphisms of the circle
Izvestiya. Mathematics , Tome 41 (1993) no. 2, pp. 337-349

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

The goal of this article is to construct and study groups which, from the point of view of the theory of representations, should resemble the group of diffeomorphisms of the circle. The first type of such groups are the diffeomorphism groups of $p$-adic projective lines. The second type are groups consisting of diffeomorphisms (satisfying certain conditions) of the absolutes of Bruhat–Tits trees; they can be regarded as precisely the diffeomorphism groups of Cantor perfect sets. Several series of unitary representations of these groups are constructed, including the analogs of highest-weight representations. 
@article{IM2_1993_41_2_a7,
     author = {Yu. A. Neretin},
     title = {On combinatorial analogs of the group of diffeomorphisms of the circle},
     journal = {Izvestiya. Mathematics },
     pages = {337--349},
     publisher = {mathdoc},
     volume = {41},
     number = {2},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a7/}
}
TY  - JOUR
AU  - Yu. A. Neretin
TI  - On combinatorial analogs of the group of diffeomorphisms of the circle
JO  - Izvestiya. Mathematics 
PY  - 1993
SP  - 337
EP  - 349
VL  - 41
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a7/
LA  - en
ID  - IM2_1993_41_2_a7
ER  - 
%0 Journal Article
%A Yu. A. Neretin
%T On combinatorial analogs of the group of diffeomorphisms of the circle
%J Izvestiya. Mathematics 
%D 1993
%P 337-349
%V 41
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a7/
%G en
%F IM2_1993_41_2_a7
Yu. A. Neretin. On combinatorial analogs of the group of diffeomorphisms of the circle. Izvestiya. Mathematics , Tome 41 (1993) no. 2, pp. 337-349. http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a7/