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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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Cell structures on the blob algebra
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by Steen Ryom-Hansen
Represent. Theory 16 (2012), 540-567
Published electronically: November 6, 2012


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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Bibliographic 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