On Cellular Algebras with Jucys Murphy Elements

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Goodman, Frederick M.
Graber, John
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Abstract
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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.
Comment: Improved and reorganized exposition. Some new results
Keywords
Mathematics - Representation Theory, Mathematics - Quantum Algebra, 20C08, 16G99, 81R50
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