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arXiv · 0911.3529

Jucys-Murphy elements and centers of cellular algebras

Yanbo Li
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Abstract

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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Yanbo Li. 2009-11-18. Jucys-Murphy elements and centers of cellular algebras. https://arxiv.org/abs/0911.3529

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