What is a short-cut braided jacket worn by hussars called?

Dolman was a short uniform jacket worn by hussars. The close-fitting, short-cut coat was heavily braided. It was usually worn under a pelisse, a similar coat but with fur trimming, usually worn slung over the left shoulder with the sleeves hanging loose.

The dolman was extensively adorned with braiding (often gold or silver for officers) and several rows of buttons. The colorful military uniforms of hussars were inspired by the prevailing Hungarian fashions of the day.

The dolman entered Western culture via Hungary starting in the sixteenth and continuing on into the nineteenth centuries where Hungarian hussars developed it into an item of the formal military dress uniform.