Journal of Lie Theory

no. 1
Stabilité des sous-algèbres paraboliques de so(n)
Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 97-122
Let K be an algebraically closed field of characteristic 0. In this paper, we prove the equivalence between quasi-reductivity and stability for parabolic subalgebras of orthogonal Lie algebras and for certain Lie algebras which stabilize an alternating bilinear form of maximal rank and a flag in generic position.
DOI: 10.5802/jolt.777
Classification: 17B45, 17B20, 22E60
Keywords: Quasi-reductivity, stability, parabolic subalgebras, orthogonal Lie algebras 
@article{JOLT_2014_24_1_a4,
     author = {K. Ammari},
     title = {Stabilit\'e des sous-alg\`ebres paraboliques de so(n)},
     journal = {Journal of Lie Theory},
     pages = {97--122},
     year = {2014},
     volume = {24},
     number = {1},
     doi = {10.5802/jolt.777},
     zbl = {1327.17007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.777/}
}
TY  - JOUR
AU  - K. Ammari
TI  - Stabilité des sous-algèbres paraboliques de so(n)
JO  - Journal of Lie Theory
PY  - 2014
SP  - 97
EP  - 122
VL  - 24
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.777/
DO  - 10.5802/jolt.777
ID  - JOLT_2014_24_1_a4
ER  - 
%0 Journal Article
%A K. Ammari
%T Stabilité des sous-algèbres paraboliques de so(n)
%J Journal of Lie Theory
%D 2014
%P 97-122
%V 24
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.777/
%R 10.5802/jolt.777
%F JOLT_2014_24_1_a4
K. Ammari. Stabilité des sous-algèbres paraboliques de so(n). Journal of Lie Theory, Volume 24 (2014) no. 1, pp. 97-122. doi: 10.5802/jolt.777

Cited by Sources: