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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Cell structures on the blob algebra
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by Steen Ryom-Hansen PDF
Represent. Theory 16 (2012), 540-567 Request permission


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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Additional Information
  • Steen Ryom-Hansen
  • Affiliation: Instituto de Matemática y Física, Universidad de Talca, Chile
  • Email:
  • Received by editor(s): December 20, 2010
  • Received by editor(s) in revised form: March 7, 2011, March 1, 2012, and April 3, 2012
  • Published electronically: November 6, 2012
  • Additional Notes: This work was supported in part by FONDECYT grants 109070 and 1121129, by Programa Reticulados y Simetría and by the MathAmSud project OPECSHA 01-math-10.
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 540-567
  • MSC (2010): Primary 20G05, 20C08, 05E10
  • DOI:
  • MathSciNet review: 2993828