We consider Lie groups whose Lie algebra is the nilradical of a parabolic subalgebra of a complex simple Lie algebra, endowed with left-invariant Hermitian metrics. For such Riemannian Lie groups, we describe the Lie algebras of their maximal isotropy groups.
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RAS, Lab Quantum Field Theory & Informat, Inst Informat Transmiss Problems, Moscow 127994, Russia
Independent Univ Moscow, Interdisciplinary Sci Ctr JV Poncelet, CNRS UMI 2615, Moscow, RussiaRAS, Lab Quantum Field Theory & Informat, Inst Informat Transmiss Problems, Moscow 127994, Russia
Gerasimov, Anton A.
Lebedev, Dmitrii R.
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RAS, Lab Quantum Field Theory & Informat, Inst Informat Transmiss Problems, Moscow 127994, Russia
Moscow Ctr Continuous Math Educ, Bol Vlasyevsky Per 11, Moscow 119002, RussiaRAS, Lab Quantum Field Theory & Informat, Inst Informat Transmiss Problems, Moscow 127994, Russia
Lebedev, Dmitrii R.
Oblezin, Sergey, V
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Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD, EnglandRAS, Lab Quantum Field Theory & Informat, Inst Informat Transmiss Problems, Moscow 127994, Russia