Geodesic
ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 255-264

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DOI

In this note, we give a new simple construction of all maximal abelian ideals in a Borel subalgebra of a complex simple Lie algebra. We also derive formulas for dimensions of certain maximal abelian ideals in terms of the theory of Borel de Siebenthal. 
BROWNE, PATRICK J. ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 255-264. doi: 10.1017/S0017089516000148
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     author = {BROWNE, PATRICK J.},
     title = {ABELIAN {IDEALS} {IN} {A} {COMPLEX} {SIMPLE} {LIE} {ALGEBRA}},
     journal = {Glasgow mathematical journal},
     pages = {255--264},
     year = {2017},
     volume = {59},
     number = {1},
     doi = {10.1017/S0017089516000148},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000148/}
}
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