Journal of Lie Theory

no. 4
Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type
Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 953-963
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.
DOI: 10.5802/jolt.1314
Classification: 32M15, 53C65, 53C35, 17B20
Keywords: Reductive Lie groups, coadjoint orbits, indefinite Kaehler manifold, Penrose transform, Dolbeault cohomology 
@article{JOLT_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},
     doi = {10.5802/jolt.1314},
     zbl = {1528.32031},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1314/}
}
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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1314/
DO  - 10.5802/jolt.1314
ID  - JOLT_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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.1314/
%R 10.5802/jolt.1314
%F JOLT_2023_33_4_a0
H. Sekiguchi. Cohomological Integral Transform Associated to θ-Stable Parabolic Subalgebras of Holomorphic Type. Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 953-963. doi: 10.5802/jolt.1314

Cited by Sources: