Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 274-289
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E. A. Karolinsky. The classification of Poisson homogeneous spaces of compact Poisson–Lie group. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 3, pp. 274-289. http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a4/
@article{JMAG_1996_3_3_a4,
author = {E. A. Karolinsky},
title = {The classification of {Poisson} homogeneous spaces of compact {Poisson{\textendash}Lie} group},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {274--289},
year = {1996},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a4/}
}
TY - JOUR
AU - E. A. Karolinsky
TI - The classification of Poisson homogeneous spaces of compact Poisson–Lie group
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1996
SP - 274
EP - 289
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a4/
LA - ru
ID - JMAG_1996_3_3_a4
ER -
%0 Journal Article
%A E. A. Karolinsky
%T The classification of Poisson homogeneous spaces of compact Poisson–Lie group
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1996
%P 274-289
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1996_3_3_a4/
%G ru
%F JMAG_1996_3_3_a4
The classification of all Poisson homogeneous spaces with connected stabilizers of compact Poisson–Lie group $K$ (equipped with the standard $r$-matrix Poisson structure) is given. The connected closed subgroups $H\subset K$ such that $K/H$ admits a structure of Poisson homogeneous $K$-space are listed. The geometric interpretation of some of Poisson homogeneous $K$-spaces is also given.
