Geodesic
Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type}
Journal of Lie theory, Tome 33 (2023) no. 4, pp. 953-963
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Every elliptic adjoint orbit X of a real reductive group carries naturally a complex manifold structure. This article proves a necessary and sufficient condition on X for which the (generalized) Radon-Penrose transform on Dolbeault cohomologies on X maps into the space of holomorphic sections.
Classification : 32M15, 53C65, 53C35, 17B20
Mots-clés : Reductive Lie groups, coadjoint orbits, indefinite Kaehler manifold, Penrose transform, Dolbeault cohomology 
@article{JLT_2023_33_4_JLT_2023_33_4_a0,
     author = {H. Sekiguchi},
     title = {Cohomological {Integral} {Transform} {Associated} to {\ensuremath{\theta}-Stable} {Parabolic} {Subalgebras} of {Holomorphic} {Type}}},
     journal = {Journal of Lie theory},
     pages = {953--963},
     year = {2023},
     volume = {33},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a0/}
}
TY  - JOUR
AU  - H. Sekiguchi
TI  - Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type}
JO  - Journal of Lie theory
PY  - 2023
SP  - 953
EP  - 963
VL  - 33
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a0/
ID  - JLT_2023_33_4_JLT_2023_33_4_a0
ER  - 
%0 Journal Article
%A H. Sekiguchi
%T Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type}
%J Journal of Lie theory
%D 2023
%P 953-963
%V 33
%N 4
%U http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a0/
%F JLT_2023_33_4_JLT_2023_33_4_a0
H. Sekiguchi. Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type}. Journal of Lie theory, Tome 33 (2023) no. 4, pp. 953-963. http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a0/