NEW YORK — “We’re going back to our roots,” said Deborah Lloyd backstage after Banana Republic’s fashion show at the Maritime Hotel on Monday night. “It just felt right for us right now to do what we’re known for.” For Lloyd, who is executive vice president of design and product development for the company, that meant hunting for inspiration in the firm’s history: the world of traveling on safari. But there were no printed T-shirts or silly hats. Instead, the designer turned out a tailored, minimal and very wearable collection that borrowed lightly from the khaki-rich utilitarian ensembles of visitors to the African bush. Lloyd’s pared-down vision balanced spartan masculinity with judicious feminine touches, from the subdued sexiness of a button-front safari skirt or a sheer military-inspired blouse to peasant skirts and full dresses.