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arXiv · 1812.11143

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

Diego Lobos·Steen Ryom-Hansen
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Abstract

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

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BibTeXRIS

Diego Lobos, Steen Ryom-Hansen. 2019-11-08. Graded cellular basis and Jucys-Murphy elements for generalized blob algebras. https://arxiv.org/abs/1812.11143

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