The influence can be in the language choices (e.g. preference for English over native languages, mania to copy native English, mimicking lifestyles, craze about the emperor's native countries, i.e. the British Isles, following trends and cultural norms, considering them superior in terms of knowledge, education, science, innovation, technology or jobs locations, etc.
Ref: Anglomania: The Colonial Influence in Postcolonial India