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arxiv: 1412.3217 · v2 · pith:X5MNAEA3new · submitted 2014-12-10 · 🧮 math.CV

On a characterization of unbounded homogeneous domains with boundaries of light cone type

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keywords characterizationhomogeneousunboundedboundariesconedomaindomainslight
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We determine the automorphism groups of unbounded homogeneous domains with boundaries of light cone type. Furthermore we present the group-theoretic characterization of the domain. As a corollary we prove the non-existence of compact quotients of a unbounded homogeneous domain. We also give a counterexample of the characterization.

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