The Jucys-Murphy basis and semisimplicty criteria for the -Brauer algebra
arXiv:2211.14756
Abstract
We construct the Jucys-Murphy elements and the Jucys-Murphy basis for the -Brauer algebra in the sense of Mathas[11]. We also give a necessary and sufficient condition for the -Brauer algebra being (split) semisimple over an arbitrary field.
21 pages