Vertices for Iwahori-Hecke algebras and the Dipper-Du conjecture

James R. Whitley

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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Abstract

Let H n denote the Iwahori–Hecke algebra corresponding to the symmetric group S n. We set up a Green correspondence for bimodules of these Hecke algebras, and a Brauer correspondence between their blocks. We examine Specht modules for H n and compute the vertex of certain Specht modules, before using this to give a complete classification of the vertices of blocks of H n in any characteristic. Finally, we apply this classification to resolve the Dipper–Du conjecture about the structure of vertices of indecomposable H n-modules.

Original languageEnglish
Pages (from-to)379-408
Number of pages30
JournalProceedings of the London Mathematical Society
Volume119
Issue number2
DOIs
Publication statusPublished - 6 Feb 2019

Bibliographical note

31 pages, v2 Minor corrections and corrected statement of Theorem 5.9

Keywords

  • math.RT
  • 20C30 (Primary), 20C08, 16G99 (Secondary)

ASJC Scopus subject areas

  • Mathematics(all)

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