Wiktionary
n. In the Eastern Orthodox liturgical tradition, the distinguishing vestment of a bishop and the symbol of his spiritual and ecclesiastical authority. Originally of wool, it is a band of brocade decorated with crosses and is worn about the neck and around the shoulders.
Wikipedia
In the Eastern Orthodox and Eastern Catholic liturgical tradition, the omophorion (, meaning "[something] borne on the shoulders"; Slavonic: омофоръ, omofor) is the distinguishing vestment of a bishop and the symbol of his spiritual and ecclesiastical authority. Originally of wool, it is a band of brocade decorated with four crosses and an eight-pointed star and is worn about the neck and shoulders.
By symbolizing the lost sheep that is found and carried on the Good Shepherd's shoulders, it signifies the bishop's pastoral role as the icon of Christ.
Clergy and ecclesiastical institutions subject to a bishop's authority are often said to be "under his omophorion".
The equivalent vestment in Western Christian usage is the archiepiscopal pallium, the use of which is subject to different rubrics and restrictions, while all Orthodox bishops wear the omophorion.
Usage examples of "omophorion".
With beaded mitre and with crozier, stalled upon his throne, widower of a widowed see, with upstiffed omophorion, with clotted hinderparts.