Cell structures on the blob algebra

Ryom-Hansen, Steen

doi:10.1090/S1088-4165-2012-00424-1

Cell structures on the blob algebra
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by Steen Ryom-Hansen

Represent. Theory 16 (2012), 540-567

DOI: https://doi.org/10.1090/S1088-4165-2012-00424-1

Published electronically: November 6, 2012

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Abstract:

We consider the $r = 0$ case of the conjectures by Bonnafé, Geck, Iancu and Lam on cellular structures on the Hecke algebra of type $B$. We show that this case induces the natural cell structure on the blob algebra $b_n$ by restriction to one-line bipartitions.

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