Journal of Lie Theory

no. 1
Limits of Jordan Lie Subalgebras
Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 51-84
Let g be a simple Lie algebra of rank n over the complex numbers C. We show that the n-dimensional abelian ideals of a Borel subalgebra of g are limits of Jordan Lie subalgebras. Combining this with a classical result by Kostant, we show that the g-module spanned by all n-dimensional abelian Lie subalgebras of g is actually spanned by the Jordan Lie subalgebras.
DOI: 10.5802/jolt.933
Classification: 17B20
Keywords: Cartan subalgebra, Jordan Lie subalgebra 
@article{JOLT_2017_27_1_a2,
     author = {M. Saito},
     title = {Limits of {Jordan} {Lie} {Subalgebras}},
     journal = {Journal of Lie Theory},
     pages = {51--84},
     year = {2017},
     volume = {27},
     number = {1},
     doi = {10.5802/jolt.933},
     zbl = {1386.17014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.933/}
}
TY  - JOUR
AU  - M. Saito
TI  - Limits of Jordan Lie Subalgebras
JO  - Journal of Lie Theory
PY  - 2017
SP  - 51
EP  - 84
VL  - 27
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.933/
DO  - 10.5802/jolt.933
ID  - JOLT_2017_27_1_a2
ER  - 
%0 Journal Article
%A M. Saito
%T Limits of Jordan Lie Subalgebras
%J Journal of Lie Theory
%D 2017
%P 51-84
%V 27
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.933/
%R 10.5802/jolt.933
%F JOLT_2017_27_1_a2
M. Saito. Limits of Jordan Lie Subalgebras. Journal of Lie Theory, Volume 27 (2017) no. 1, pp. 51-84. doi: 10.5802/jolt.933

Cited by Sources: