Non-principal blocks with one simple module

David John Benson, Edward L. Green

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We give a general construction which shows that a large class of quantum complete intersections can be realized as the basic algebras of non-principal blocks of finite groups. We investigate the Ext rings of these algebras. We describe how to construct a finite p'-covering for one of these quantum complete intersections, which supports a Hopf algebra structure which is neither commutative nor cocommutative in general. We use this to investigate a problem concerning the definition of nucleus for a non-principal block.

Original languageEnglish
Pages (from-to)1-11
Number of pages10
JournalQuarterly Journal of Mathematics
Volume55
Issue number1
DOIs
Publication statusPublished - 2004

Keywords

  • quantum groups
  • algebras
  • varieties
  • cohomology
  • coverings

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