Wedge domains in non-compactly causal symmetric spaces
نویسندگان
چکیده
This article is part of an ongoing project aiming at the connections between causal structures on homogeneous spaces, Algebraic Quantum Field Theory, modular theory operator algebras and unitary representations Lie groups. In this we concentrate non-compactly symmetric spaces G/H. class contains de Sitter space but also other with invariant partial ordering. The central ingredient Euler element h in algebra $${{\mathfrak {g}}}$$ . We define three different kinds wedge domains depending structure Our main result that connected component containing base point eH these seemingly all agree. Furthermore discuss connectedness those domains. show each has a natural extension to form $$G_{{\mathbb {C}}}/G^c$$ where $$G^c$$ certain real complexification {C}}}$$ G. As causal, it types results says intersection G/H agree
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2023
ISSN: ['0046-5755', '1572-9168']
DOI: https://doi.org/10.1007/s10711-022-00755-x