Wikipedia
Angarkha
The term angarkha also called angrakha refers to traditional upper garment worn in the Indian Subcontinent which overlap and are tied to the left or right shoulder. The Angrakha was a court outfit that a person could wrap around himself, offering flexible ease with the knots and ties appropriate for wearing in the various principalities of ancient India.
thumb| Display of various styles of Angarkha worn by men, Delhi textile museum.