Isotropy subalgebras of elliptic orbits in semisimple Lie algebras, and the canonical representatives of pseudo-Hermitian symmetric elliptic orbits

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概要

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• 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.

• 2007-10-01

著者

• BOUMUKI Nobutaka

  Osaka City University Advanced Mathematical Institute

関連論文

• Isotropy subalgebras of elliptic orbits in semisimple Lie algebras, and the canonical representatives of pseudo-Hermitian symmetric elliptic orbits

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