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arxiv: 0907.3459 · v2 · pith:LDZUP43Jnew · submitted 2009-07-20 · 🧮 math.RT · math.QA

On Cellular Algebras with Jucys Murphy Elements

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keywords algebrasanaloguescellularelementsarisingbasicbrauerconstructions
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We study analogues of Jucys-Murphy elements in cellular algebras arising from repeated Jones basic constructions. Examples include Brauer and BMW algebras and their cyclotomic analogues.

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