Let R be an integral domain and A a cellular algebra. Suppose that A is equipped with a family of Jucys-Murphy elements which satisfy the separation condition. Let K be the field of fractions of R. We give a necessary and sufficient condition under which the center of $A_{K}$ consists of the symmetric polynomials in Jucys-Murphy elements.
1-Auslander-Gorenstein algebras which are tilted
A cellular algebra with certain idempotent decomposition
Jucys-Murphy elements of partition algebra for the rook monoid
![QR code for arXiv:0911.3529 [math.RT]](http://oss.arxitics.com/images/favicon.svg)