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