Let H₀ be a regular element of an irreducible Lie algebra , and let be the orbital measure supported on . We show that if and only if k > dim /(dim - rank ).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-1, author = {Alex Wright}, title = {Regular orbital measures on Lie algebras}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {1-11}, zbl = {1155.22018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-1} }
Alex Wright. Regular orbital measures on Lie algebras. Colloquium Mathematicae, Tome 111 (2008) pp. 1-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-1/