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math.RT2020★ 2 cited
The nil-blob algebra: An incarnation of type Soergel calculus and of the truncated blob algebra
Diego Lobos, David Plaza, Steen Ryom-Hansen
We introduce a type analogue of the nil Temperley-Lieb algebra in terms of generators and relations, that we call the (extended) nil-blob algebra. We show that this algebra is…
math.RT2018★ 3 cited
Graded cellular basis and Jucys-Murphy elements for generalized blob algebras
Diego Lobos, Steen Ryom-Hansen
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…