2007 年 59 巻 4 号 p. 1135-1177
We give a method of determining the centralizer of an elliptic element in a real semisimple Lie algebra \\mathfrak{g}, in relation with the maximal compact subalgebra of \\mathfrak{g} and the compact dual of \\mathfrak{g}. Moreover, we determine a special central element (called the H-element) of the isotropy subalgebra of each simple irreducible pseudo-Hermitian symmetric Lie algebra.
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