Pallium
papal serape
Usually, a long vestment called a COPE; it has a top snap worn over the alb. Also, a HUMERAL VEIL, a long cloth worn over shoulders used to cover the hands and hold the monstrance
It is an outer vestment worn by a priest.
If you mean the liturgical vestment worn around the shoulders of priests as they administer the sacraments it is called a 'stole'.
A woolen cap worn in Scotland is called a tam o' shanter.
A chasuble is a vestment worn by priests when they are saying mass. It is sleeveless, and is worn as an outer vestment. It is often quite decorated, and has the colors of the liturgical season. There is a link below to an article on the chasuble.
shawls, stoles, capes, serapes and ponchos are or can be worn over the shoulders. Shawls can also be worn over the head and shoulders.
White vestments are worn
White or gold are the colors of the day.
You will wear it as a sweater and also as woolen gloves on the hand.
The white vestment worn by the priest is called an alb ( from the latin "albus", meaning "white"). It also worn by deacons, servers, and occasionally Eucharistic ministers. A white vestment placed over the alb at Mass is called a chasuble for priests and dalmatic for daecons. That can be red, green, violet, or white. White is worn during certain liturgical seasons and holy days, but the alb is always white, sometimes "off" white or ivory.