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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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The $2$-blocks of defect $4$
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by Burkhard Külshammer and Benjamin Sambale PDF
Represent. Theory 17 (2013), 226-236 Request permission


We show that the major counting conjectures of modular representation theory are satisfied for $2$-blocks of defect at most $4$ except one possible case. In particular, we determine the invariants of such blocks.
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Additional Information
  • Burkhard Külshammer
  • Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany
  • Email:
  • Benjamin Sambale
  • Affiliation: Mathematisches Institut, Friedrich-Schiller-Universität, Germany
  • MR Author ID: 928720
  • ORCID: 0000-0001-9914-1652
  • Email:
  • Received by editor(s): February 7, 2012
  • Published electronically: May 2, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 226-236
  • MSC (2010): Primary 20C15, 20C20
  • DOI:
  • MathSciNet review: 3048571