Cell structures on the blob algebra

preprint2012arXivOpen access

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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Cell structures on the blob algebra

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