Graded cellular basis and Jucys-Murphy elements for generalized blob algebras

作者: Steen Ryom-Hansen , Diego Lobos

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摘要: We give a concrete construction of graded cellular basis for the generalized blob algebra B_n introduced by Martin and Woodcock. The uses isomorphism between KLR-algebras cyclotomic Hecke algebras, proved Brundan-Kleshchev Rouquier. It gives rise to family Jucys-Murphy elements B_n.

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