Jucys-Murphy elements and centers of cellular algebras

Details Jucys-Murphy elements and centers of cellular algebras Jucys-Murphy elements and centers of cellular algebras

2009-11-18

arxiv.org/abs/0911.3529v1

Mathematics

Representation Theory

11 pages

Scientific paper

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.

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