The edited volume examines how legal, technical, economic, and ethical norms governing the use of artificial intelligence emerge, interact, and stabilize. It is based on the premise that AI regulation cannot be understood as a self-contained field of technology law, but rather constitutes a complex ordering task shaped by the interplay of horizontal European regulation, sector-specific regimes, research ethics, and processes of standardization. The focus lies on the implementation of the European AI Act and its relationship to data protection law, financial market law, and the EU framework for corporate data. Theoretically, the contributions draw on regulatory and governance research, theories of normativity, and debates on technology-induced norm formation ("code is law"). Methodologically, the volume combines doctrinal and comparative legal analysis with perspectives from technology studies, economics, and the social sciences. It examines the AI Act, data protection and financial market law, as well as de facto processes of norm formation by market actors, standardization bodies, and research institutions. It reconstructs the forms, functions, and addressees of the AI normative order and analyzes the interplay of legal rules, technical standards, economic incentives, and ethical guidelines. Part I analyzes the risk-based regulation of the digital space, Part II sector-specific regimes in the financial market and the relationship between horizontal regulation and supervision, and Part III research ethics and standardization. The volume conceptualizes the AI normative order as a multi-layered framework and provides a foundation for future regulation in Europe.