In an SAP Analytics Cloud (SAC) analytic data model, you typically have a degree of flexibility in managing dimensions. Among the automatically created dimension types, the Generic dimension can often be deleted if it's not relevant or desired for your analysis. Generic dimensions are often generated by the system based on identified data patterns but might not always align with specific business requirements or be redundant. In contrast, Date, Version, and Organization dimensions are fundamental and often system-critical, especially for planning models (Version, Organization) or time-based analysis (Date). These core dimensions are usually not freely deletable or are required by the system for specific functionalities. Therefore, for tailoring your analytic model to specific business needs, the ability to remove generic dimensions provides greater control and simplification.