Pseudocompact Algebras and Highest Weight Categories

Frantisek Marko, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


We develop a new approach to highest weight categories C with good (and cogood) posets of weights via pseudocompact algebras by introducing ascending (and descending) quasi-hereditary pseudocompact algebras. For C admitting a Chevalley duality, we define and investigate tilting modules and Ringel duals of the corresponding pseudocompact algebras. Finally, we illustrate all these concepts on an explicit example of the general linear supergroup GL(1|1).

Original languageEnglish
Pages (from-to)689-728
Number of pages40
JournalAlgebras and Representation Theory
Issue number3
Publication statusPublished - Jun 2013
Externally publishedYes


  • Highest weight categories
  • Pseudocompact algebras

ASJC Scopus subject areas

  • General Mathematics


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