What is the name of the small red cape the matador uses?

A matador's outfit, called Traje de luces, is the traditional clothing that Spanish bullfighters (toreros, picadors and rejoneadors) wear in the bullring. The term originates from the sequins and reflective threads of gold or silver. These trajes are based on the flamboyant costumes of the 18th century dandies and showmen involved intauromachia, which later became exclusive to the bullfighting ritual. Later adornments include the montera hat, elaborate embroidery and decorative accessories.