Cell structures on the blob algebra

Details Cell structures on the blob algebra Cell structures on the blob algebra

2009-11-10

arxiv.org/abs/0911.1923v5

Mathematics

Representation Theory

25 pages, improved presentation of section 2

Scientific paper

We consider the $ r = 0 $ case of the conjectures by Bonnaf\'e, 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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